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Finding the Fourth Proportional to 261,097.70, 391,646.55 and 172,451.30

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Solution

The fourth proportional to 261,097.70, 391,646.55 and 172,451.30 is: 258,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,097.70 : 391,646.55 = 172,451.30 : x
  2. Step 2: Convert to fraction form
    261,097.70/391,646.55 = 172,451.30/x
  3. Step 3: Cross multiply
    261,097.70x = 391,646.55 × 172,451.30
  4. Step 4: Simplify right side
    261,097.70x = 67,539,956,688.02
  5. Step 5: Solve for x
    x = 67,539,956,688.02/261,097.70
  6. Step 6: Final answer
    x = 258,676.95

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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.