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Finding the Fourth Proportional to 420,882.68, 580,646.13 and 310,765.23

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Solution

The fourth proportional to 420,882.68, 580,646.13 and 310,765.23 is: 428,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,882.68 : 580,646.13 = 310,765.23 : x
  2. Step 2: Convert to fraction form
    420,882.68/580,646.13 = 310,765.23/x
  3. Step 3: Cross multiply
    420,882.68x = 580,646.13 × 310,765.23
  4. Step 4: Simplify right side
    420,882.68x = 180,444,628,138.06
  5. Step 5: Solve for x
    x = 180,444,628,138.06/420,882.68
  6. Step 6: Final answer
    x = 428,729.05

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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.