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Finding the Fourth Proportional to 420,432.31, 580,178.46 and 239,118.67

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Solution

The fourth proportional to 420,432.31, 580,178.46 and 239,118.67 is: 329,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,432.31 : 580,178.46 = 239,118.67 : x
  2. Step 2: Convert to fraction form
    420,432.31/580,178.46 = 239,118.67/x
  3. Step 3: Cross multiply
    420,432.31x = 580,178.46 × 239,118.67
  4. Step 4: Simplify right side
    420,432.31x = 138,731,501,717.85
  5. Step 5: Solve for x
    x = 138,731,501,717.85/420,432.31
  6. Step 6: Final answer
    x = 329,973.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.