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Finding the Fourth Proportional to 212,079.78, 317,427.33 and 155,905.02

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Solution

The fourth proportional to 212,079.78, 317,427.33 and 155,905.02 is: 233,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,079.78 : 317,427.33 = 155,905.02 : x
  2. Step 2: Convert to fraction form
    212,079.78/317,427.33 = 155,905.02/x
  3. Step 3: Cross multiply
    212,079.78x = 317,427.33 × 155,905.02
  4. Step 4: Simplify right side
    212,079.78x = 49,488,514,232.20
  5. Step 5: Solve for x
    x = 49,488,514,232.20/212,079.78
  6. Step 6: Final answer
    x = 233,348.57

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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.