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Finding the Fourth Proportional to 509,703.60, 764,531.10 and 172,711.20

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Solution

The fourth proportional to 509,703.60, 764,531.10 and 172,711.20 is: 259,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,703.60 : 764,531.10 = 172,711.20 : x
  2. Step 2: Convert to fraction form
    509,703.60/764,531.10 = 172,711.20/x
  3. Step 3: Cross multiply
    509,703.60x = 764,531.10 × 172,711.20
  4. Step 4: Simplify right side
    509,703.60x = 132,043,083,718.32
  5. Step 5: Solve for x
    x = 132,043,083,718.32/509,703.60
  6. Step 6: Final answer
    x = 259,058.57

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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.