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Finding the Fourth Proportional to 613,355.28, 920,221.17 and 314,046.01

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Solution

The fourth proportional to 613,355.28, 920,221.17 and 314,046.01 is: 471,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,355.28 : 920,221.17 = 314,046.01 : x
  2. Step 2: Convert to fraction form
    613,355.28/920,221.17 = 314,046.01/x
  3. Step 3: Cross multiply
    613,355.28x = 920,221.17 × 314,046.01
  4. Step 4: Simplify right side
    613,355.28x = 288,991,786,756.03
  5. Step 5: Solve for x
    x = 288,991,786,756.03/613,355.28
  6. Step 6: Final answer
    x = 471,165.40

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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.