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Finding the Fourth Proportional to 310,512.40, 428,501.28 and 195,767.80

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Solution

The fourth proportional to 310,512.40, 428,501.28 and 195,767.80 is: 270,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,512.40 : 428,501.28 = 195,767.80 : x
  2. Step 2: Convert to fraction form
    310,512.40/428,501.28 = 195,767.80/x
  3. Step 3: Cross multiply
    310,512.40x = 428,501.28 × 195,767.80
  4. Step 4: Simplify right side
    310,512.40x = 83,886,752,882.78
  5. Step 5: Solve for x
    x = 83,886,752,882.78/310,512.40
  6. Step 6: Final answer
    x = 270,155.89

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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.