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Finding the Fourth Proportional to 697,109.90, 960,219.36 and 492,809.47

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Solution

The fourth proportional to 697,109.90, 960,219.36 and 492,809.47 is: 678,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,109.90 : 960,219.36 = 492,809.47 : x
  2. Step 2: Convert to fraction form
    697,109.90/960,219.36 = 492,809.47/x
  3. Step 3: Cross multiply
    697,109.90x = 960,219.36 × 492,809.47
  4. Step 4: Simplify right side
    697,109.90x = 473,205,191,484.79
  5. Step 5: Solve for x
    x = 473,205,191,484.79/697,109.90
  6. Step 6: Final answer
    x = 678,810.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.