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Finding the Fourth Proportional to 487,499.40, 731,681.10 and 287,569.80

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Solution

The fourth proportional to 487,499.40, 731,681.10 and 287,569.80 is: 431,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,499.40 : 731,681.10 = 287,569.80 : x
  2. Step 2: Convert to fraction form
    487,499.40/731,681.10 = 287,569.80/x
  3. Step 3: Cross multiply
    487,499.40x = 731,681.10 × 287,569.80
  4. Step 4: Simplify right side
    487,499.40x = 210,409,387,590.78
  5. Step 5: Solve for x
    x = 210,409,387,590.78/487,499.40
  6. Step 6: Final answer
    x = 431,609.53

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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.