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Finding the Fourth Proportional to 284,418.95, 426,463.31 and 134,657.98

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Solution

The fourth proportional to 284,418.95, 426,463.31 and 134,657.98 is: 201,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,418.95 : 426,463.31 = 134,657.98 : x
  2. Step 2: Convert to fraction form
    284,418.95/426,463.31 = 134,657.98/x
  3. Step 3: Cross multiply
    284,418.95x = 426,463.31 × 134,657.98
  4. Step 4: Simplify right side
    284,418.95x = 57,426,687,139.20
  5. Step 5: Solve for x
    x = 57,426,687,139.20/284,418.95
  6. Step 6: Final answer
    x = 201,908.80

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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.