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Finding the Fourth Proportional to 398,159.12, 597,217.08 and 161,438.24

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Solution

The fourth proportional to 398,159.12, 597,217.08 and 161,438.24 is: 242,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,159.12 : 597,217.08 = 161,438.24 : x
  2. Step 2: Convert to fraction form
    398,159.12/597,217.08 = 161,438.24/x
  3. Step 3: Cross multiply
    398,159.12x = 597,217.08 × 161,438.24
  4. Step 4: Simplify right side
    398,159.12x = 96,413,674,293.14
  5. Step 5: Solve for x
    x = 96,413,674,293.14/398,159.12
  6. Step 6: Final answer
    x = 242,148.60

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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.