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Finding the Fourth Proportional to 398,130.68, 597,192.32 and 161,417.12

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Solution

The fourth proportional to 398,130.68, 597,192.32 and 161,417.12 is: 242,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,130.68 : 597,192.32 = 161,417.12 : x
  2. Step 2: Convert to fraction form
    398,130.68/597,192.32 = 161,417.12/x
  3. Step 3: Cross multiply
    398,130.68x = 597,192.32 × 161,417.12
  4. Step 4: Simplify right side
    398,130.68x = 96,397,064,380.52
  5. Step 5: Solve for x
    x = 96,397,064,380.52/398,130.68
  6. Step 6: Final answer
    x = 242,124.18

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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.