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Finding the Fourth Proportional to 283,390.38, 424,619.01 and 198,009.90

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Solution

The fourth proportional to 283,390.38, 424,619.01 and 198,009.90 is: 296,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,390.38 : 424,619.01 = 198,009.90 : x
  2. Step 2: Convert to fraction form
    283,390.38/424,619.01 = 198,009.90/x
  3. Step 3: Cross multiply
    283,390.38x = 424,619.01 × 198,009.90
  4. Step 4: Simplify right side
    283,390.38x = 84,078,767,708.20
  5. Step 5: Solve for x
    x = 84,078,767,708.20/283,390.38
  6. Step 6: Final answer
    x = 296,688.86

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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.