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Finding the Fourth Proportional to 227,369.40, 313,793.16 and 144,640.76

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Solution

The fourth proportional to 227,369.40, 313,793.16 and 144,640.76 is: 199,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,369.40 : 313,793.16 = 144,640.76 : x
  2. Step 2: Convert to fraction form
    227,369.40/313,793.16 = 144,640.76/x
  3. Step 3: Cross multiply
    227,369.40x = 313,793.16 × 144,640.76
  4. Step 4: Simplify right side
    227,369.40x = 45,387,281,145.20
  5. Step 5: Solve for x
    x = 45,387,281,145.20/227,369.40
  6. Step 6: Final answer
    x = 199,619.13

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1.5x scale

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.