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Finding the Fourth Proportional to 398,841.88, 597,956.10 and 206,510.20

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Solution

The fourth proportional to 398,841.88, 597,956.10 and 206,510.20 is: 309,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,841.88 : 597,956.10 = 206,510.20 : x
  2. Step 2: Convert to fraction form
    398,841.88/597,956.10 = 206,510.20/x
  3. Step 3: Cross multiply
    398,841.88x = 597,956.10 × 206,510.20
  4. Step 4: Simplify right side
    398,841.88x = 123,484,033,802.22
  5. Step 5: Solve for x
    x = 123,484,033,802.22/398,841.88
  6. Step 6: Final answer
    x = 309,606.49

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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.