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Finding the Fourth Proportional to 458,502.90, 687,852.63 and 138,627.42

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Solution

The fourth proportional to 458,502.90, 687,852.63 and 138,627.42 is: 207,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,502.90 : 687,852.63 = 138,627.42 : x
  2. Step 2: Convert to fraction form
    458,502.90/687,852.63 = 138,627.42/x
  3. Step 3: Cross multiply
    458,502.90x = 687,852.63 × 138,627.42
  4. Step 4: Simplify right side
    458,502.90x = 95,355,235,437.11
  5. Step 5: Solve for x
    x = 95,355,235,437.11/458,502.90
  6. Step 6: Final answer
    x = 207,970.84

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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.