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Finding the Fourth Proportional to 206,712.45, 310,068.68 and 180,468.45

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Solution

The fourth proportional to 206,712.45, 310,068.68 and 180,468.45 is: 270,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712.45 : 310,068.68 = 180,468.45 : x
  2. Step 2: Convert to fraction form
    206,712.45/310,068.68 = 180,468.45/x
  3. Step 3: Cross multiply
    206,712.45x = 310,068.68 × 180,468.45
  4. Step 4: Simplify right side
    206,712.45x = 55,957,613,170.80
  5. Step 5: Solve for x
    x = 55,957,613,170.80/206,712.45
  6. Step 6: Final answer
    x = 270,702.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.