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Finding the Fourth Proportional to 704,865.72, 972,614.96 and 418,499.94

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Solution

The fourth proportional to 704,865.72, 972,614.96 and 418,499.94 is: 577,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,865.72 : 972,614.96 = 418,499.94 : x
  2. Step 2: Convert to fraction form
    704,865.72/972,614.96 = 418,499.94/x
  3. Step 3: Cross multiply
    704,865.72x = 972,614.96 × 418,499.94
  4. Step 4: Simplify right side
    704,865.72x = 407,039,302,403.10
  5. Step 5: Solve for x
    x = 407,039,302,403.10/704,865.72
  6. Step 6: Final answer
    x = 577,470.70

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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.