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Finding the Fourth Proportional to 283,004.78, 424,509.70 and 80,600.70

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Solution

The fourth proportional to 283,004.78, 424,509.70 and 80,600.70 is: 120,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,004.78 : 424,509.70 = 80,600.70 : x
  2. Step 2: Convert to fraction form
    283,004.78/424,509.70 = 80,600.70/x
  3. Step 3: Cross multiply
    283,004.78x = 424,509.70 × 80,600.70
  4. Step 4: Simplify right side
    283,004.78x = 34,215,778,976.79
  5. Step 5: Solve for x
    x = 34,215,778,976.79/283,004.78
  6. Step 6: Final answer
    x = 120,901.77

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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.