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Finding the Fourth Proportional to 349,265.78, 523,901.91 and 138,957.38

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Solution

The fourth proportional to 349,265.78, 523,901.91 and 138,957.38 is: 208,437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,265.78 : 523,901.91 = 138,957.38 : x
  2. Step 2: Convert to fraction form
    349,265.78/523,901.91 = 138,957.38/x
  3. Step 3: Cross multiply
    349,265.78x = 523,901.91 × 138,957.38
  4. Step 4: Simplify right side
    349,265.78x = 72,800,036,790.60
  5. Step 5: Solve for x
    x = 72,800,036,790.60/349,265.78
  6. Step 6: Final answer
    x = 208,437.36

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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.