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Finding the Fourth Proportional to 284,572.95, 426,849.23 and 71,342.63

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Solution

The fourth proportional to 284,572.95, 426,849.23 and 71,342.63 is: 107,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,572.95 : 426,849.23 = 71,342.63 : x
  2. Step 2: Convert to fraction form
    284,572.95/426,849.23 = 71,342.63/x
  3. Step 3: Cross multiply
    284,572.95x = 426,849.23 × 71,342.63
  4. Step 4: Simplify right side
    284,572.95x = 30,452,544,190.72
  5. Step 5: Solve for x
    x = 30,452,544,190.72/284,572.95
  6. Step 6: Final answer
    x = 107,011.38

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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.