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Finding the Fourth Proportional to 285,751.85, 394,341.99 and 156,702.11

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Solution

The fourth proportional to 285,751.85, 394,341.99 and 156,702.11 is: 216,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,751.85 : 394,341.99 = 156,702.11 : x
  2. Step 2: Convert to fraction form
    285,751.85/394,341.99 = 156,702.11/x
  3. Step 3: Cross multiply
    285,751.85x = 394,341.99 × 156,702.11
  4. Step 4: Simplify right side
    285,751.85x = 61,794,220,216.71
  5. Step 5: Solve for x
    x = 61,794,220,216.71/285,751.85
  6. Step 6: Final answer
    x = 216,251.34

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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.