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Finding the Fourth Proportional to 458,230.64, 687,353.74 and 158,720.10

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Solution

The fourth proportional to 458,230.64, 687,353.74 and 158,720.10 is: 238,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,230.64 : 687,353.74 = 158,720.10 : x
  2. Step 2: Convert to fraction form
    458,230.64/687,353.74 = 158,720.10/x
  3. Step 3: Cross multiply
    458,230.64x = 687,353.74 × 158,720.10
  4. Step 4: Simplify right side
    458,230.64x = 109,096,854,348.17
  5. Step 5: Solve for x
    x = 109,096,854,348.17/458,230.64
  6. Step 6: Final answer
    x = 238,082.84

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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.