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Finding the Fourth Proportional to 495,627.90, 683,971.32 and 280,763.37

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Solution

The fourth proportional to 495,627.90, 683,971.32 and 280,763.37 is: 387,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,627.90 : 683,971.32 = 280,763.37 : x
  2. Step 2: Convert to fraction form
    495,627.90/683,971.32 = 280,763.37/x
  3. Step 3: Cross multiply
    495,627.90x = 683,971.32 × 280,763.37
  4. Step 4: Simplify right side
    495,627.90x = 192,034,092,786.55
  5. Step 5: Solve for x
    x = 192,034,092,786.55/495,627.90
  6. Step 6: Final answer
    x = 387,456.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.