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Finding the Fourth Proportional to 613,439.59, 920,347.19 and 314,132.10

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Solution

The fourth proportional to 613,439.59, 920,347.19 and 314,132.10 is: 471,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,439.59 : 920,347.19 = 314,132.10 : x
  2. Step 2: Convert to fraction form
    613,439.59/920,347.19 = 314,132.10/x
  3. Step 3: Cross multiply
    613,439.59x = 920,347.19 × 314,132.10
  4. Step 4: Simplify right side
    613,439.59x = 289,110,595,523.80
  5. Step 5: Solve for x
    x = 289,110,595,523.80/613,439.59
  6. Step 6: Final answer
    x = 471,294.32

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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.