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Finding the Fourth Proportional to 412,513.80, 618,830.04 and 156,440.64

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Solution

The fourth proportional to 412,513.80, 618,830.04 and 156,440.64 is: 234,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,513.80 : 618,830.04 = 156,440.64 : x
  2. Step 2: Convert to fraction form
    412,513.80/618,830.04 = 156,440.64/x
  3. Step 3: Cross multiply
    412,513.80x = 618,830.04 × 156,440.64
  4. Step 4: Simplify right side
    412,513.80x = 96,810,167,508.83
  5. Step 5: Solve for x
    x = 96,810,167,508.83/412,513.80
  6. Step 6: Final answer
    x = 234,683.46

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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.