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Finding the Fourth Proportional to 461,780.61, 637,251.17 and 257,835

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Solution

The fourth proportional to 461,780.61, 637,251.17 and 257,835 is: 355,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,780.61 : 637,251.17 = 257,835 : x
  2. Step 2: Convert to fraction form
    461,780.61/637,251.17 = 257,835/x
  3. Step 3: Cross multiply
    461,780.61x = 637,251.17 × 257,835
  4. Step 4: Simplify right side
    461,780.61x = 164,305,655,416.95
  5. Step 5: Solve for x
    x = 164,305,655,416.95/461,780.61
  6. Step 6: Final answer
    x = 355,808.91

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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.