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Finding the Fourth Proportional to 287,424,489.80, 431,136,734.70 and 82,959,235.40

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Solution

The fourth proportional to 287,424,489.80, 431,136,734.70 and 82,959,235.40 is: 124,438,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,424,489.80 : 431,136,734.70 = 82,959,235.40 : x
  2. Step 2: Convert to fraction form
    287,424,489.80/431,136,734.70 = 82,959,235.40/x
  3. Step 3: Cross multiply
    287,424,489.80x = 431,136,734.70 × 82,959,235.40
  4. Step 4: Simplify right side
    287,424,489.80x = 35,766,773,863,564,648
  5. Step 5: Solve for x
    x = 35,766,773,863,564,648/287,424,489.80
  6. Step 6: Final answer
    x = 124,438,853.10

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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.