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Finding the Fourth Proportional to 347,780.80, 521,671.20 and 137,310.40

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Solution

The fourth proportional to 347,780.80, 521,671.20 and 137,310.40 is: 205,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,780.80 : 521,671.20 = 137,310.40 : x
  2. Step 2: Convert to fraction form
    347,780.80/521,671.20 = 137,310.40/x
  3. Step 3: Cross multiply
    347,780.80x = 521,671.20 × 137,310.40
  4. Step 4: Simplify right side
    347,780.80x = 71,630,881,140.48
  5. Step 5: Solve for x
    x = 71,630,881,140.48/347,780.80
  6. Step 6: Final answer
    x = 205,965.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.