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Finding the Fourth Proportional to 412,447.10, 618,670.17 and 112,929.98

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Solution

The fourth proportional to 412,447.10, 618,670.17 and 112,929.98 is: 169,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,447.10 : 618,670.17 = 112,929.98 : x
  2. Step 2: Convert to fraction form
    412,447.10/618,670.17 = 112,929.98/x
  3. Step 3: Cross multiply
    412,447.10x = 618,670.17 × 112,929.98
  4. Step 4: Simplify right side
    412,447.10x = 69,866,409,924.70
  5. Step 5: Solve for x
    x = 69,866,409,924.70/412,447.10
  6. Step 6: Final answer
    x = 169,394.84

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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.