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Finding the Fourth Proportional to 398,241.89, 597,004.12 and 145,344.93

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Solution

The fourth proportional to 398,241.89, 597,004.12 and 145,344.93 is: 217,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,241.89 : 597,004.12 = 145,344.93 : x
  2. Step 2: Convert to fraction form
    398,241.89/597,004.12 = 145,344.93/x
  3. Step 3: Cross multiply
    398,241.89x = 597,004.12 × 145,344.93
  4. Step 4: Simplify right side
    398,241.89x = 86,771,522,031.11
  5. Step 5: Solve for x
    x = 86,771,522,031.11/398,241.89
  6. Step 6: Final answer
    x = 217,886.48

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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.