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Finding the Fourth Proportional to 393,459.24, 590,214.90 and 112,978.92

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Solution

The fourth proportional to 393,459.24, 590,214.90 and 112,978.92 is: 169,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,459.24 : 590,214.90 = 112,978.92 : x
  2. Step 2: Convert to fraction form
    393,459.24/590,214.90 = 112,978.92/x
  3. Step 3: Cross multiply
    393,459.24x = 590,214.90 × 112,978.92
  4. Step 4: Simplify right side
    393,459.24x = 66,681,841,969.91
  5. Step 5: Solve for x
    x = 66,681,841,969.91/393,459.24
  6. Step 6: Final answer
    x = 169,475.86

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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.