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Finding the Fourth Proportional to 495,410.80, 683,663.06 and 269,056.30

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Solution

The fourth proportional to 495,410.80, 683,663.06 and 269,056.30 is: 371,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,410.80 : 683,663.06 = 269,056.30 : x
  2. Step 2: Convert to fraction form
    495,410.80/683,663.06 = 269,056.30/x
  3. Step 3: Cross multiply
    495,410.80x = 683,663.06 × 269,056.30
  4. Step 4: Simplify right side
    495,410.80x = 183,943,853,370.28
  5. Step 5: Solve for x
    x = 183,943,853,370.28/495,410.80
  6. Step 6: Final answer
    x = 371,295.61

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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.