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Finding the Fourth Proportional to 458,232.96, 687,360.96 and 125,808

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Solution

The fourth proportional to 458,232.96, 687,360.96 and 125,808 is: 188,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,232.96 : 687,360.96 = 125,808 : x
  2. Step 2: Convert to fraction form
    458,232.96/687,360.96 = 125,808/x
  3. Step 3: Cross multiply
    458,232.96x = 687,360.96 × 125,808
  4. Step 4: Simplify right side
    458,232.96x = 86,475,507,655.68
  5. Step 5: Solve for x
    x = 86,475,507,655.68/458,232.96
  6. Step 6: Final answer
    x = 188,715.16

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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.