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Finding the Fourth Proportional to 284,145.80, 426,289.16 and 84,465.81

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Solution

The fourth proportional to 284,145.80, 426,289.16 and 84,465.81 is: 126,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,145.80 : 426,289.16 = 84,465.81 : x
  2. Step 2: Convert to fraction form
    284,145.80/426,289.16 = 84,465.81/x
  3. Step 3: Cross multiply
    284,145.80x = 426,289.16 × 84,465.81
  4. Step 4: Simplify right side
    284,145.80x = 36,006,859,404.78
  5. Step 5: Solve for x
    x = 36,006,859,404.78/284,145.80
  6. Step 6: Final answer
    x = 126,719.66

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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.