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Finding the Fourth Proportional to 420,925.78, 580,870.29 and 229,934.26

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Solution

The fourth proportional to 420,925.78, 580,870.29 and 229,934.26 is: 317,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,925.78 : 580,870.29 = 229,934.26 : x
  2. Step 2: Convert to fraction form
    420,925.78/580,870.29 = 229,934.26/x
  3. Step 3: Cross multiply
    420,925.78x = 580,870.29 × 229,934.26
  4. Step 4: Simplify right side
    420,925.78x = 133,561,980,287.14
  5. Step 5: Solve for x
    x = 133,561,980,287.14/420,925.78
  6. Step 6: Final answer
    x = 317,305.30

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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.