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Finding the Fourth Proportional to 409,901.70, 610,731.24 and 386,983.32

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Solution

The fourth proportional to 409,901.70, 610,731.24 and 386,983.32 is: 576,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,901.70 : 610,731.24 = 386,983.32 : x
  2. Step 2: Convert to fraction form
    409,901.70/610,731.24 = 386,983.32/x
  3. Step 3: Cross multiply
    409,901.70x = 610,731.24 × 386,983.32
  4. Step 4: Simplify right side
    409,901.70x = 236,342,802,882.92
  5. Step 5: Solve for x
    x = 236,342,802,882.92/409,901.70
  6. Step 6: Final answer
    x = 576,584.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.