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Finding the Fourth Proportional to 412,345.80, 618,432.30 and 202,134.60

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Solution

The fourth proportional to 412,345.80, 618,432.30 and 202,134.60 is: 303,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,345.80 : 618,432.30 = 202,134.60 : x
  2. Step 2: Convert to fraction form
    412,345.80/618,432.30 = 202,134.60/x
  3. Step 3: Cross multiply
    412,345.80x = 618,432.30 × 202,134.60
  4. Step 4: Simplify right side
    412,345.80x = 125,006,565,587.58
  5. Step 5: Solve for x
    x = 125,006,565,587.58/412,345.80
  6. Step 6: Final answer
    x = 303,159.55

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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.