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Finding the Fourth Proportional to 207,384.20, 310,298.70 and 137,400.20

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Solution

The fourth proportional to 207,384.20, 310,298.70 and 137,400.20 is: 205,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,384.20 : 310,298.70 = 137,400.20 : x
  2. Step 2: Convert to fraction form
    207,384.20/310,298.70 = 137,400.20/x
  3. Step 3: Cross multiply
    207,384.20x = 310,298.70 × 137,400.20
  4. Step 4: Simplify right side
    207,384.20x = 42,635,103,439.74
  5. Step 5: Solve for x
    x = 42,635,103,439.74/207,384.20
  6. Step 6: Final answer
    x = 205,585.11

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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.