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Finding the Fourth Proportional to 458,109.64, 687,229.26 and 142,598.44

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Solution

The fourth proportional to 458,109.64, 687,229.26 and 142,598.44 is: 213,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,109.64 : 687,229.26 = 142,598.44 : x
  2. Step 2: Convert to fraction form
    458,109.64/687,229.26 = 142,598.44/x
  3. Step 3: Cross multiply
    458,109.64x = 687,229.26 × 142,598.44
  4. Step 4: Simplify right side
    458,109.64x = 97,997,820,398.35
  5. Step 5: Solve for x
    x = 97,997,820,398.35/458,109.64
  6. Step 6: Final answer
    x = 213,917.83

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1.5x scale

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.