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Finding the Fourth Proportional to 306,508.59, 459,165.11 and 172,984.95

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Solution

The fourth proportional to 306,508.59, 459,165.11 and 172,984.95 is: 259,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,508.59 : 459,165.11 = 172,984.95 : x
  2. Step 2: Convert to fraction form
    306,508.59/459,165.11 = 172,984.95/x
  3. Step 3: Cross multiply
    306,508.59x = 459,165.11 × 172,984.95
  4. Step 4: Simplify right side
    306,508.59x = 79,428,652,730.17
  5. Step 5: Solve for x
    x = 79,428,652,730.17/306,508.59
  6. Step 6: Final answer
    x = 259,140.05

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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.