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Finding the Fourth Proportional to 284,671.27, 427,014.47 and 124,664.55

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Solution

The fourth proportional to 284,671.27, 427,014.47 and 124,664.55 is: 187,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,671.27 : 427,014.47 = 124,664.55 : x
  2. Step 2: Convert to fraction form
    284,671.27/427,014.47 = 124,664.55/x
  3. Step 3: Cross multiply
    284,671.27x = 427,014.47 × 124,664.55
  4. Step 4: Simplify right side
    284,671.27x = 53,233,566,746.04
  5. Step 5: Solve for x
    x = 53,233,566,746.04/284,671.27
  6. Step 6: Final answer
    x = 187,000.14

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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.