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Finding the Fourth Proportional to 384,003.40, 576,177.90 and 134,864.20

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Solution

The fourth proportional to 384,003.40, 576,177.90 and 134,864.20 is: 202,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,003.40 : 576,177.90 = 134,864.20 : x
  2. Step 2: Convert to fraction form
    384,003.40/576,177.90 = 134,864.20/x
  3. Step 3: Cross multiply
    384,003.40x = 576,177.90 × 134,864.20
  4. Step 4: Simplify right side
    384,003.40x = 77,705,771,541.18
  5. Step 5: Solve for x
    x = 77,705,771,541.18/384,003.40
  6. Step 6: Final answer
    x = 202,356.99

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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.