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Finding the Fourth Proportional to 495,411.33, 683,709.80 and 280,589.61

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Solution

The fourth proportional to 495,411.33, 683,709.80 and 280,589.61 is: 387,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,411.33 : 683,709.80 = 280,589.61 : x
  2. Step 2: Convert to fraction form
    495,411.33/683,709.80 = 280,589.61/x
  3. Step 3: Cross multiply
    495,411.33x = 683,709.80 × 280,589.61
  4. Step 4: Simplify right side
    495,411.33x = 191,841,866,135.18
  5. Step 5: Solve for x
    x = 191,841,866,135.18/495,411.33
  6. Step 6: Final answer
    x = 387,237.54

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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.