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Finding the Fourth Proportional to 287,712,855.90, 431,569,283.85 and 261,353,382.30

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Solution

The fourth proportional to 287,712,855.90, 431,569,283.85 and 261,353,382.30 is: 392,030,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712,855.90 : 431,569,283.85 = 261,353,382.30 : x
  2. Step 2: Convert to fraction form
    287,712,855.90/431,569,283.85 = 261,353,382.30/x
  3. Step 3: Cross multiply
    287,712,855.90x = 431,569,283.85 × 261,353,382.30
  4. Step 4: Simplify right side
    287,712,855.90x = 112,792,092,030,986,272
  5. Step 5: Solve for x
    x = 112,792,092,030,986,272/287,712,855.90
  6. Step 6: Final answer
    x = 392,030,073.45

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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.