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Finding the Fourth Proportional to 306,502.59, 459,156.11 and 172,978.95

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Solution

The fourth proportional to 306,502.59, 459,156.11 and 172,978.95 is: 259,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.59 : 459,156.11 = 172,978.95 : x
  2. Step 2: Convert to fraction form
    306,502.59/459,156.11 = 172,978.95/x
  3. Step 3: Cross multiply
    306,502.59x = 459,156.11 × 172,978.95
  4. Step 4: Simplify right side
    306,502.59x = 79,424,340,928.99
  5. Step 5: Solve for x
    x = 79,424,340,928.99/306,502.59
  6. Step 6: Final answer
    x = 259,131.06

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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.