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Finding the Fourth Proportional to 328,297.14, 492,445.71 and 78,979.14

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Solution

The fourth proportional to 328,297.14, 492,445.71 and 78,979.14 is: 118,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,297.14 : 492,445.71 = 78,979.14 : x
  2. Step 2: Convert to fraction form
    328,297.14/492,445.71 = 78,979.14/x
  3. Step 3: Cross multiply
    328,297.14x = 492,445.71 × 78,979.14
  4. Step 4: Simplify right side
    328,297.14x = 38,892,938,672.49
  5. Step 5: Solve for x
    x = 38,892,938,672.49/328,297.14
  6. Step 6: Final answer
    x = 118,468.71

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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.