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Finding the Fourth Proportional to 284,178.68, 392,164.69 and 155,116.64

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Solution

The fourth proportional to 284,178.68, 392,164.69 and 155,116.64 is: 214,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,178.68 : 392,164.69 = 155,116.64 : x
  2. Step 2: Convert to fraction form
    284,178.68/392,164.69 = 155,116.64/x
  3. Step 3: Cross multiply
    284,178.68x = 392,164.69 × 155,116.64
  4. Step 4: Simplify right side
    284,178.68x = 60,831,267,716.98
  5. Step 5: Solve for x
    x = 60,831,267,716.98/284,178.68
  6. Step 6: Final answer
    x = 214,059.93

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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.