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Finding the Fourth Proportional to 306,504.59, 459,159.10 and 172,980.95

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Solution

The fourth proportional to 306,504.59, 459,159.10 and 172,980.95 is: 259,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.59 : 459,159.10 = 172,980.95 : x
  2. Step 2: Convert to fraction form
    306,504.59/459,159.10 = 172,980.95/x
  3. Step 3: Cross multiply
    306,504.59x = 459,159.10 × 172,980.95
  4. Step 4: Simplify right side
    306,504.59x = 79,425,777,319.15
  5. Step 5: Solve for x
    x = 79,425,777,319.15/306,504.59
  6. Step 6: Final answer
    x = 259,134.06

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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.