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Finding the Fourth Proportional to 287,713.70, 431,570.55 and 77,372.90

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Solution

The fourth proportional to 287,713.70, 431,570.55 and 77,372.90 is: 116,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,713.70 : 431,570.55 = 77,372.90 : x
  2. Step 2: Convert to fraction form
    287,713.70/431,570.55 = 77,372.90/x
  3. Step 3: Cross multiply
    287,713.70x = 431,570.55 × 77,372.90
  4. Step 4: Simplify right side
    287,713.70x = 33,391,865,008.10
  5. Step 5: Solve for x
    x = 33,391,865,008.10/287,713.70
  6. Step 6: Final answer
    x = 116,059.35

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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.