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Finding the Fourth Proportional to 495,011.70, 683,127 and 280,151.91

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Solution

The fourth proportional to 495,011.70, 683,127 and 280,151.91 is: 386,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,011.70 : 683,127 = 280,151.91 : x
  2. Step 2: Convert to fraction form
    495,011.70/683,127 = 280,151.91/x
  3. Step 3: Cross multiply
    495,011.70x = 683,127 × 280,151.91
  4. Step 4: Simplify right side
    495,011.70x = 191,379,333,822.57
  5. Step 5: Solve for x
    x = 191,379,333,822.57/495,011.70
  6. Step 6: Final answer
    x = 386,615.78

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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.