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Finding the Fourth Proportional to 398,001.40, 595,446.90 and 258,033.40

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Solution

The fourth proportional to 398,001.40, 595,446.90 and 258,033.40 is: 386,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,001.40 : 595,446.90 = 258,033.40 : x
  2. Step 2: Convert to fraction form
    398,001.40/595,446.90 = 258,033.40/x
  3. Step 3: Cross multiply
    398,001.40x = 595,446.90 × 258,033.40
  4. Step 4: Simplify right side
    398,001.40x = 153,645,188,126.46
  5. Step 5: Solve for x
    x = 153,645,188,126.46/398,001.40
  6. Step 6: Final answer
    x = 386,041.83

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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.