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Finding the Fourth Proportional to 282,077.80, 423,213.90 and 124,419.40

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Solution

The fourth proportional to 282,077.80, 423,213.90 and 124,419.40 is: 186,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,077.80 : 423,213.90 = 124,419.40 : x
  2. Step 2: Convert to fraction form
    282,077.80/423,213.90 = 124,419.40/x
  3. Step 3: Cross multiply
    282,077.80x = 423,213.90 × 124,419.40
  4. Step 4: Simplify right side
    282,077.80x = 52,656,019,509.66
  5. Step 5: Solve for x
    x = 52,656,019,509.66/282,077.80
  6. Step 6: Final answer
    x = 186,671.97

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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.