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Finding the Fourth Proportional to 495,295.80, 683,252.46 and 313,702.20

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Solution

The fourth proportional to 495,295.80, 683,252.46 and 313,702.20 is: 432,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,295.80 : 683,252.46 = 313,702.20 : x
  2. Step 2: Convert to fraction form
    495,295.80/683,252.46 = 313,702.20/x
  3. Step 3: Cross multiply
    495,295.80x = 683,252.46 × 313,702.20
  4. Step 4: Simplify right side
    495,295.80x = 214,337,799,857.41
  5. Step 5: Solve for x
    x = 214,337,799,857.41/495,295.80
  6. Step 6: Final answer
    x = 432,747.06

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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.