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Finding the Fourth Proportional to 284,596.17, 427,133.75 and 142,398.78

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Solution

The fourth proportional to 284,596.17, 427,133.75 and 142,398.78 is: 213,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,596.17 : 427,133.75 = 142,398.78 : x
  2. Step 2: Convert to fraction form
    284,596.17/427,133.75 = 142,398.78/x
  3. Step 3: Cross multiply
    284,596.17x = 427,133.75 × 142,398.78
  4. Step 4: Simplify right side
    284,596.17x = 60,823,324,184.83
  5. Step 5: Solve for x
    x = 60,823,324,184.83/284,596.17
  6. Step 6: Final answer
    x = 213,718.00

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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.