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Finding the Fourth Proportional to 258,984,167.60, 388,476,251.40 and 257,472,513.20

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Solution

The fourth proportional to 258,984,167.60, 388,476,251.40 and 257,472,513.20 is: 386,208,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,984,167.60 : 388,476,251.40 = 257,472,513.20 : x
  2. Step 2: Convert to fraction form
    258,984,167.60/388,476,251.40 = 257,472,513.20/x
  3. Step 3: Cross multiply
    258,984,167.60x = 388,476,251.40 × 257,472,513.20
  4. Step 4: Simplify right side
    258,984,167.60x = 100,021,956,766,473,008
  5. Step 5: Solve for x
    x = 100,021,956,766,473,008/258,984,167.60
  6. Step 6: Final answer
    x = 386,208,769.80

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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.