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Finding the Fourth Proportional to 363,855.32, 502,076.80 and 208,798.66

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Solution

The fourth proportional to 363,855.32, 502,076.80 and 208,798.66 is: 288,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,855.32 : 502,076.80 = 208,798.66 : x
  2. Step 2: Convert to fraction form
    363,855.32/502,076.80 = 208,798.66/x
  3. Step 3: Cross multiply
    363,855.32x = 502,076.80 × 208,798.66
  4. Step 4: Simplify right side
    363,855.32x = 104,832,963,057.09
  5. Step 5: Solve for x
    x = 104,832,963,057.09/363,855.32
  6. Step 6: Final answer
    x = 288,117.16

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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.