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Finding the Fourth Proportional to 363,854.32, 502,075.42 and 208,797.66

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Solution

The fourth proportional to 363,854.32, 502,075.42 and 208,797.66 is: 288,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,854.32 : 502,075.42 = 208,797.66 : x
  2. Step 2: Convert to fraction form
    363,854.32/502,075.42 = 208,797.66/x
  3. Step 3: Cross multiply
    363,854.32x = 502,075.42 × 208,797.66
  4. Step 4: Simplify right side
    363,854.32x = 104,832,172,839.52
  5. Step 5: Solve for x
    x = 104,832,172,839.52/363,854.32
  6. Step 6: Final answer
    x = 288,115.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.