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Finding the Fourth Proportional to 212,916.80, 319,375.20 and 195,713.60

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Solution

The fourth proportional to 212,916.80, 319,375.20 and 195,713.60 is: 293,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,916.80 : 319,375.20 = 195,713.60 : x
  2. Step 2: Convert to fraction form
    212,916.80/319,375.20 = 195,713.60/x
  3. Step 3: Cross multiply
    212,916.80x = 319,375.20 × 195,713.60
  4. Step 4: Simplify right side
    212,916.80x = 62,506,070,142.72
  5. Step 5: Solve for x
    x = 62,506,070,142.72/212,916.80
  6. Step 6: Final answer
    x = 293,570.40

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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.