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Finding the Fourth Proportional to 410,930.80, 616,007.40 and 242,580.40

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Solution

The fourth proportional to 410,930.80, 616,007.40 and 242,580.40 is: 363,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,930.80 : 616,007.40 = 242,580.40 : x
  2. Step 2: Convert to fraction form
    410,930.80/616,007.40 = 242,580.40/x
  3. Step 3: Cross multiply
    410,930.80x = 616,007.40 × 242,580.40
  4. Step 4: Simplify right side
    410,930.80x = 149,431,321,494.96
  5. Step 5: Solve for x
    x = 149,431,321,494.96/410,930.80
  6. Step 6: Final answer
    x = 363,641.08

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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.