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Finding the Fourth Proportional to 207,488.49, 284,467.80 and 203,705.66

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Solution

The fourth proportional to 207,488.49, 284,467.80 and 203,705.66 is: 279,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,488.49 : 284,467.80 = 203,705.66 : x
  2. Step 2: Convert to fraction form
    207,488.49/284,467.80 = 203,705.66/x
  3. Step 3: Cross multiply
    207,488.49x = 284,467.80 × 203,705.66
  4. Step 4: Simplify right side
    207,488.49x = 57,947,700,476.90
  5. Step 5: Solve for x
    x = 57,947,700,476.90/207,488.49
  6. Step 6: Final answer
    x = 279,281.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.