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Finding the Fourth Proportional to 315,538.70, 438,382.95 and 311,755.30

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Solution

The fourth proportional to 315,538.70, 438,382.95 and 311,755.30 is: 433,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,538.70 : 438,382.95 = 311,755.30 : x
  2. Step 2: Convert to fraction form
    315,538.70/438,382.95 = 311,755.30/x
  3. Step 3: Cross multiply
    315,538.70x = 438,382.95 × 311,755.30
  4. Step 4: Simplify right side
    315,538.70x = 136,668,204,341.44
  5. Step 5: Solve for x
    x = 136,668,204,341.44/315,538.70
  6. Step 6: Final answer
    x = 433,126.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.