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Finding the Fourth Proportional to 468,732,833.38, 646,554,854.01 and 301,181,128.21

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Solution

The fourth proportional to 468,732,833.38, 646,554,854.01 and 301,181,128.21 is: 415,439,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,732,833.38 : 646,554,854.01 = 301,181,128.21 : x
  2. Step 2: Convert to fraction form
    468,732,833.38/646,554,854.01 = 301,181,128.21/x
  3. Step 3: Cross multiply
    468,732,833.38x = 646,554,854.01 × 301,181,128.21
  4. Step 4: Simplify right side
    468,732,833.38x = 194,730,120,380,383,616
  5. Step 5: Solve for x
    x = 194,730,120,380,383,616/468,732,833.38
  6. Step 6: Final answer
    x = 415,439,471.09

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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.