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Finding the Fourth Proportional to 495,523.40, 743,285.10 and 412,854.80

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Solution

The fourth proportional to 495,523.40, 743,285.10 and 412,854.80 is: 619,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,523.40 : 743,285.10 = 412,854.80 : x
  2. Step 2: Convert to fraction form
    495,523.40/743,285.10 = 412,854.80/x
  3. Step 3: Cross multiply
    495,523.40x = 743,285.10 × 412,854.80
  4. Step 4: Simplify right side
    495,523.40x = 306,868,821,303.48
  5. Step 5: Solve for x
    x = 306,868,821,303.48/495,523.40
  6. Step 6: Final answer
    x = 619,282.20

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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.