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Finding the Fourth Proportional to 478,474.50, 660,569.72 and 317,547.75

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Solution

The fourth proportional to 478,474.50, 660,569.72 and 317,547.75 is: 438,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,474.50 : 660,569.72 = 317,547.75 : x
  2. Step 2: Convert to fraction form
    478,474.50/660,569.72 = 317,547.75/x
  3. Step 3: Cross multiply
    478,474.50x = 660,569.72 × 317,547.75
  4. Step 4: Simplify right side
    478,474.50x = 209,762,428,304.13
  5. Step 5: Solve for x
    x = 209,762,428,304.13/478,474.50
  6. Step 6: Final answer
    x = 438,398.34

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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.