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Finding the Fourth Proportional to 438,089.64, 656,851.92 and 171,877.08

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Solution

The fourth proportional to 438,089.64, 656,851.92 and 171,877.08 is: 257,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,089.64 : 656,851.92 = 171,877.08 : x
  2. Step 2: Convert to fraction form
    438,089.64/656,851.92 = 171,877.08/x
  3. Step 3: Cross multiply
    438,089.64x = 656,851.92 × 171,877.08
  4. Step 4: Simplify right side
    438,089.64x = 112,897,790,001.99
  5. Step 5: Solve for x
    x = 112,897,790,001.99/438,089.64
  6. Step 6: Final answer
    x = 257,704.77

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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.