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Finding the Fourth Proportional to 283,279.20, 424,465.20 and 149,985.60

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Solution

The fourth proportional to 283,279.20, 424,465.20 and 149,985.60 is: 224,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,279.20 : 424,465.20 = 149,985.60 : x
  2. Step 2: Convert to fraction form
    283,279.20/424,465.20 = 149,985.60/x
  3. Step 3: Cross multiply
    283,279.20x = 424,465.20 × 149,985.60
  4. Step 4: Simplify right side
    283,279.20x = 63,663,667,701.12
  5. Step 5: Solve for x
    x = 63,663,667,701.12/283,279.20
  6. Step 6: Final answer
    x = 224,738.24

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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.