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Finding the Fourth Proportional to 578,572.20, 867,989.16 and 312,327

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Solution

The fourth proportional to 578,572.20, 867,989.16 and 312,327 is: 468,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,572.20 : 867,989.16 = 312,327 : x
  2. Step 2: Convert to fraction form
    578,572.20/867,989.16 = 312,327/x
  3. Step 3: Cross multiply
    578,572.20x = 867,989.16 × 312,327
  4. Step 4: Simplify right side
    578,572.20x = 271,096,450,375.32
  5. Step 5: Solve for x
    x = 271,096,450,375.32/578,572.20
  6. Step 6: Final answer
    x = 468,561.14

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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.