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Finding the Fourth Proportional to 351,415.95, 527,117.77 and 138,206.01

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Solution

The fourth proportional to 351,415.95, 527,117.77 and 138,206.01 is: 207,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,415.95 : 527,117.77 = 138,206.01 : x
  2. Step 2: Convert to fraction form
    351,415.95/527,117.77 = 138,206.01/x
  3. Step 3: Cross multiply
    351,415.95x = 527,117.77 × 138,206.01
  4. Step 4: Simplify right side
    351,415.95x = 72,850,843,791.80
  5. Step 5: Solve for x
    x = 72,850,843,791.80/351,415.95
  6. Step 6: Final answer
    x = 207,306.59

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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.