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Finding the Fourth Proportional to 407,115.10, 610,672.65 and 281,143.90

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Solution

The fourth proportional to 407,115.10, 610,672.65 and 281,143.90 is: 421,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.10 : 610,672.65 = 281,143.90 : x
  2. Step 2: Convert to fraction form
    407,115.10/610,672.65 = 281,143.90/x
  3. Step 3: Cross multiply
    407,115.10x = 610,672.65 × 281,143.90
  4. Step 4: Simplify right side
    407,115.10x = 171,686,890,444.34
  5. Step 5: Solve for x
    x = 171,686,890,444.34/407,115.10
  6. Step 6: Final answer
    x = 421,715.85

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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.