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Finding the Fourth Proportional to 399,188.16, 598,606.56 and 149,695.20

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Solution

The fourth proportional to 399,188.16, 598,606.56 and 149,695.20 is: 224,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,188.16 : 598,606.56 = 149,695.20 : x
  2. Step 2: Convert to fraction form
    399,188.16/598,606.56 = 149,695.20/x
  3. Step 3: Cross multiply
    399,188.16x = 598,606.56 × 149,695.20
  4. Step 4: Simplify right side
    399,188.16x = 89,608,528,720.51
  5. Step 5: Solve for x
    x = 89,608,528,720.51/399,188.16
  6. Step 6: Final answer
    x = 224,476.92

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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.