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Finding the Fourth Proportional to 309,265.26, 463,907.61 and 147,123.90

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Solution

The fourth proportional to 309,265.26, 463,907.61 and 147,123.90 is: 220,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,265.26 : 463,907.61 = 147,123.90 : x
  2. Step 2: Convert to fraction form
    309,265.26/463,907.61 = 147,123.90/x
  3. Step 3: Cross multiply
    309,265.26x = 463,907.61 × 147,123.90
  4. Step 4: Simplify right side
    309,265.26x = 68,251,896,822.88
  5. Step 5: Solve for x
    x = 68,251,896,822.88/309,265.26
  6. Step 6: Final answer
    x = 220,690.47

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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.