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Finding the Fourth Proportional to 420,888, 580,842.72 and 242,040

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Solution

The fourth proportional to 420,888, 580,842.72 and 242,040 is: 334,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,888 : 580,842.72 = 242,040 : x
  2. Step 2: Convert to fraction form
    420,888/580,842.72 = 242,040/x
  3. Step 3: Cross multiply
    420,888x = 580,842.72 × 242,040
  4. Step 4: Simplify right side
    420,888x = 140,587,171,948.80
  5. Step 5: Solve for x
    x = 140,587,171,948.80/420,888
  6. Step 6: Final answer
    x = 334,025.14

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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.