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Finding the Fourth Proportional to 495,462.33, 683,715.06 and 280,603.97

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Solution

The fourth proportional to 495,462.33, 683,715.06 and 280,603.97 is: 387,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,462.33 : 683,715.06 = 280,603.97 : x
  2. Step 2: Convert to fraction form
    495,462.33/683,715.06 = 280,603.97/x
  3. Step 3: Cross multiply
    495,462.33x = 683,715.06 × 280,603.97
  4. Step 4: Simplify right side
    495,462.33x = 191,853,156,766.21
  5. Step 5: Solve for x
    x = 191,853,156,766.21/495,462.33
  6. Step 6: Final answer
    x = 387,220.47

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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.