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Finding the Fourth Proportional to 458,097.12, 687,189.42 and 142,469.28

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Solution

The fourth proportional to 458,097.12, 687,189.42 and 142,469.28 is: 213,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,097.12 : 687,189.42 = 142,469.28 : x
  2. Step 2: Convert to fraction form
    458,097.12/687,189.42 = 142,469.28/x
  3. Step 3: Cross multiply
    458,097.12x = 687,189.42 × 142,469.28
  4. Step 4: Simplify right side
    458,097.12x = 97,903,381,891.02
  5. Step 5: Solve for x
    x = 97,903,381,891.02/458,097.12
  6. Step 6: Final answer
    x = 213,717.52

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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.