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Finding the Fourth Proportional to 361,654.68, 499,085.36 and 208,699.24

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Solution

The fourth proportional to 361,654.68, 499,085.36 and 208,699.24 is: 288,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,654.68 : 499,085.36 = 208,699.24 : x
  2. Step 2: Convert to fraction form
    361,654.68/499,085.36 = 208,699.24/x
  3. Step 3: Cross multiply
    361,654.68x = 499,085.36 × 208,699.24
  4. Step 4: Simplify right side
    361,654.68x = 104,158,735,327.13
  5. Step 5: Solve for x
    x = 104,158,735,327.13/361,654.68
  6. Step 6: Final answer
    x = 288,006.05

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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.