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Finding the Fourth Proportional to 398,390.38, 597,702.35 and 128,513.13

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Solution

The fourth proportional to 398,390.38, 597,702.35 and 128,513.13 is: 192,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,390.38 : 597,702.35 = 128,513.13 : x
  2. Step 2: Convert to fraction form
    398,390.38/597,702.35 = 128,513.13/x
  3. Step 3: Cross multiply
    398,390.38x = 597,702.35 × 128,513.13
  4. Step 4: Simplify right side
    398,390.38x = 76,812,599,806.86
  5. Step 5: Solve for x
    x = 76,812,599,806.86/398,390.38
  6. Step 6: Final answer
    x = 192,807.37

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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.