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Finding the Fourth Proportional to 330,186.40, 495,279.60 and 282,947.20

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Solution

The fourth proportional to 330,186.40, 495,279.60 and 282,947.20 is: 424,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,186.40 : 495,279.60 = 282,947.20 : x
  2. Step 2: Convert to fraction form
    330,186.40/495,279.60 = 282,947.20/x
  3. Step 3: Cross multiply
    330,186.40x = 495,279.60 × 282,947.20
  4. Step 4: Simplify right side
    330,186.40x = 140,137,976,037.12
  5. Step 5: Solve for x
    x = 140,137,976,037.12/330,186.40
  6. Step 6: Final answer
    x = 424,420.80

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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.