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Finding the Fourth Proportional to 412,117.80, 618,176.70 and 371,439.60

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Solution

The fourth proportional to 412,117.80, 618,176.70 and 371,439.60 is: 557,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,117.80 : 618,176.70 = 371,439.60 : x
  2. Step 2: Convert to fraction form
    412,117.80/618,176.70 = 371,439.60/x
  3. Step 3: Cross multiply
    412,117.80x = 618,176.70 × 371,439.60
  4. Step 4: Simplify right side
    412,117.80x = 229,615,306,177.32
  5. Step 5: Solve for x
    x = 229,615,306,177.32/412,117.80
  6. Step 6: Final answer
    x = 557,159.40

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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.