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Finding the Fourth Proportional to 284,186.88, 392,208.48 and 212,443.56

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Solution

The fourth proportional to 284,186.88, 392,208.48 and 212,443.56 is: 293,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,186.88 : 392,208.48 = 212,443.56 : x
  2. Step 2: Convert to fraction form
    284,186.88/392,208.48 = 212,443.56/x
  3. Step 3: Cross multiply
    284,186.88x = 392,208.48 × 212,443.56
  4. Step 4: Simplify right side
    284,186.88x = 83,322,165,753.39
  5. Step 5: Solve for x
    x = 83,322,165,753.39/284,186.88
  6. Step 6: Final answer
    x = 293,194.98

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1.5x scale

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.