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Finding the Fourth Proportional to 224,420.01, 309,654.22 and 142,780.68

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Solution

The fourth proportional to 224,420.01, 309,654.22 and 142,780.68 is: 197,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,420.01 : 309,654.22 = 142,780.68 : x
  2. Step 2: Convert to fraction form
    224,420.01/309,654.22 = 142,780.68/x
  3. Step 3: Cross multiply
    224,420.01x = 309,654.22 × 142,780.68
  4. Step 4: Simplify right side
    224,420.01x = 44,212,640,096.47
  5. Step 5: Solve for x
    x = 44,212,640,096.47/224,420.01
  6. Step 6: Final answer
    x = 197,008.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.