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Finding the Fourth Proportional to 287,711.70, 431,567.55 and 77,370.90

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Solution

The fourth proportional to 287,711.70, 431,567.55 and 77,370.90 is: 116,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,711.70 : 431,567.55 = 77,370.90 : x
  2. Step 2: Convert to fraction form
    287,711.70/431,567.55 = 77,370.90/x
  3. Step 3: Cross multiply
    287,711.70x = 431,567.55 × 77,370.90
  4. Step 4: Simplify right side
    287,711.70x = 33,390,769,754.30
  5. Step 5: Solve for x
    x = 33,390,769,754.30/287,711.70
  6. Step 6: Final answer
    x = 116,056.35

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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.