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Finding the Fourth Proportional to 284,143.50, 392,118.87 and 155,083.16

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Solution

The fourth proportional to 284,143.50, 392,118.87 and 155,083.16 is: 214,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,143.50 : 392,118.87 = 155,083.16 : x
  2. Step 2: Convert to fraction form
    284,143.50/392,118.87 = 155,083.16/x
  3. Step 3: Cross multiply
    284,143.50x = 392,118.87 × 155,083.16
  4. Step 4: Simplify right side
    284,143.50x = 60,811,034,435.53
  5. Step 5: Solve for x
    x = 60,811,034,435.53/284,143.50
  6. Step 6: Final answer
    x = 214,015.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.