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Finding the Fourth Proportional to 349,315.20, 523,843.20 and 138,909.60

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Solution

The fourth proportional to 349,315.20, 523,843.20 and 138,909.60 is: 208,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,315.20 : 523,843.20 = 138,909.60 : x
  2. Step 2: Convert to fraction form
    349,315.20/523,843.20 = 138,909.60/x
  3. Step 3: Cross multiply
    349,315.20x = 523,843.20 × 138,909.60
  4. Step 4: Simplify right side
    349,315.20x = 72,766,849,374.72
  5. Step 5: Solve for x
    x = 72,766,849,374.72/349,315.20
  6. Step 6: Final answer
    x = 208,312.86

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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.