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Finding the Fourth Proportional to 328,234.40, 492,351.60 and 78,916.40

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Solution

The fourth proportional to 328,234.40, 492,351.60 and 78,916.40 is: 118,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,234.40 : 492,351.60 = 78,916.40 : x
  2. Step 2: Convert to fraction form
    328,234.40/492,351.60 = 78,916.40/x
  3. Step 3: Cross multiply
    328,234.40x = 492,351.60 × 78,916.40
  4. Step 4: Simplify right side
    328,234.40x = 38,854,615,806.24
  5. Step 5: Solve for x
    x = 38,854,615,806.24/328,234.40
  6. Step 6: Final answer
    x = 118,374.60

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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.