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Finding the Fourth Proportional to 495,522.40, 743,283.60 and 412,853.80

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Solution

The fourth proportional to 495,522.40, 743,283.60 and 412,853.80 is: 619,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,522.40 : 743,283.60 = 412,853.80 : x
  2. Step 2: Convert to fraction form
    495,522.40/743,283.60 = 412,853.80/x
  3. Step 3: Cross multiply
    495,522.40x = 743,283.60 × 412,853.80
  4. Step 4: Simplify right side
    495,522.40x = 306,867,458,737.68
  5. Step 5: Solve for x
    x = 306,867,458,737.68/495,522.40
  6. Step 6: Final answer
    x = 619,280.70

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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.