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Finding the Fourth Proportional to 407,958.30, 611,937.45 and 314,646.30

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Solution

The fourth proportional to 407,958.30, 611,937.45 and 314,646.30 is: 471,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,958.30 : 611,937.45 = 314,646.30 : x
  2. Step 2: Convert to fraction form
    407,958.30/611,937.45 = 314,646.30/x
  3. Step 3: Cross multiply
    407,958.30x = 611,937.45 × 314,646.30
  4. Step 4: Simplify right side
    407,958.30x = 192,543,854,473.94
  5. Step 5: Solve for x
    x = 192,543,854,473.94/407,958.30
  6. Step 6: Final answer
    x = 471,969.45

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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.