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Finding the Fourth Proportional to 371,757.60, 557,020.80 and 213,710.40

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Solution

The fourth proportional to 371,757.60, 557,020.80 and 213,710.40 is: 320,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,757.60 : 557,020.80 = 213,710.40 : x
  2. Step 2: Convert to fraction form
    371,757.60/557,020.80 = 213,710.40/x
  3. Step 3: Cross multiply
    371,757.60x = 557,020.80 × 213,710.40
  4. Step 4: Simplify right side
    371,757.60x = 119,041,137,976.32
  5. Step 5: Solve for x
    x = 119,041,137,976.32/371,757.60
  6. Step 6: Final answer
    x = 320,211.71

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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.