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Finding the Fourth Proportional to 376,428.20, 564,642.30 and 165,842.60

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Solution

The fourth proportional to 376,428.20, 564,642.30 and 165,842.60 is: 248,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,428.20 : 564,642.30 = 165,842.60 : x
  2. Step 2: Convert to fraction form
    376,428.20/564,642.30 = 165,842.60/x
  3. Step 3: Cross multiply
    376,428.20x = 564,642.30 × 165,842.60
  4. Step 4: Simplify right side
    376,428.20x = 93,641,747,101.98
  5. Step 5: Solve for x
    x = 93,641,747,101.98/376,428.20
  6. Step 6: Final answer
    x = 248,763.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.