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Finding the Fourth Proportional to 338,200.68, 465,654.69 and 287,107.50

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Solution

The fourth proportional to 338,200.68, 465,654.69 and 287,107.50 is: 395,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,200.68 : 465,654.69 = 287,107.50 : x
  2. Step 2: Convert to fraction form
    338,200.68/465,654.69 = 287,107.50/x
  3. Step 3: Cross multiply
    338,200.68x = 465,654.69 × 287,107.50
  4. Step 4: Simplify right side
    338,200.68x = 133,692,953,909.18
  5. Step 5: Solve for x
    x = 133,692,953,909.18/338,200.68
  6. Step 6: Final answer
    x = 395,306.58

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1.5x scale

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.