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Finding the Fourth Proportional to 412,448.60, 618,672.40 and 112,931.48

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Solution

The fourth proportional to 412,448.60, 618,672.40 and 112,931.48 is: 169,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,448.60 : 618,672.40 = 112,931.48 : x
  2. Step 2: Convert to fraction form
    412,448.60/618,672.40 = 112,931.48/x
  3. Step 3: Cross multiply
    412,448.60x = 618,672.40 × 112,931.48
  4. Step 4: Simplify right side
    412,448.60x = 69,867,589,767.15
  5. Step 5: Solve for x
    x = 69,867,589,767.15/412,448.60
  6. Step 6: Final answer
    x = 169,397.08

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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.