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Finding the Fourth Proportional to 463,991.40, 695,987.10 and 407,894.85

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Solution

The fourth proportional to 463,991.40, 695,987.10 and 407,894.85 is: 611,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,991.40 : 695,987.10 = 407,894.85 : x
  2. Step 2: Convert to fraction form
    463,991.40/695,987.10 = 407,894.85/x
  3. Step 3: Cross multiply
    463,991.40x = 695,987.10 × 407,894.85
  4. Step 4: Simplify right side
    463,991.40x = 283,889,553,756.44
  5. Step 5: Solve for x
    x = 283,889,553,756.44/463,991.40
  6. Step 6: Final answer
    x = 611,842.28

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.