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Finding the Fourth Proportional to 299,761,532.66, 413,442,669.39 and 258,016,646.90

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Solution

The fourth proportional to 299,761,532.66, 413,442,669.39 and 258,016,646.90 is: 355,866,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,761,532.66 : 413,442,669.39 = 258,016,646.90 : x
  2. Step 2: Convert to fraction form
    299,761,532.66/413,442,669.39 = 258,016,646.90/x
  3. Step 3: Cross multiply
    299,761,532.66x = 413,442,669.39 × 258,016,646.90
  4. Step 4: Simplify right side
    299,761,532.66x = 106,675,091,241,459,120
  5. Step 5: Solve for x
    x = 106,675,091,241,459,120/299,761,532.66
  6. Step 6: Final answer
    x = 355,866,512.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.