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Finding the Fourth Proportional to 347,406.60, 521,282.70 and 137,051.40

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Solution

The fourth proportional to 347,406.60, 521,282.70 and 137,051.40 is: 205,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,406.60 : 521,282.70 = 137,051.40 : x
  2. Step 2: Convert to fraction form
    347,406.60/521,282.70 = 137,051.40/x
  3. Step 3: Cross multiply
    347,406.60x = 521,282.70 × 137,051.40
  4. Step 4: Simplify right side
    347,406.60x = 71,442,523,830.78
  5. Step 5: Solve for x
    x = 71,442,523,830.78/347,406.60
  6. Step 6: Final answer
    x = 205,645.27

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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.