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Finding the Fourth Proportional to 495,575.80, 743,363.70 and 408,095.80

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Solution

The fourth proportional to 495,575.80, 743,363.70 and 408,095.80 is: 612,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,575.80 : 743,363.70 = 408,095.80 : x
  2. Step 2: Convert to fraction form
    495,575.80/743,363.70 = 408,095.80/x
  3. Step 3: Cross multiply
    495,575.80x = 743,363.70 × 408,095.80
  4. Step 4: Simplify right side
    495,575.80x = 303,363,603,842.46
  5. Step 5: Solve for x
    x = 303,363,603,842.46/495,575.80
  6. Step 6: Final answer
    x = 612,143.70

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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.