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Finding the Fourth Proportional to 284,279.01, 392,298.91 and 155,212.49

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Solution

The fourth proportional to 284,279.01, 392,298.91 and 155,212.49 is: 214,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,279.01 : 392,298.91 = 155,212.49 : x
  2. Step 2: Convert to fraction form
    284,279.01/392,298.91 = 155,212.49/x
  3. Step 3: Cross multiply
    284,279.01x = 392,298.91 × 155,212.49
  4. Step 4: Simplify right side
    284,279.01x = 60,889,690,645.39
  5. Step 5: Solve for x
    x = 60,889,690,645.39/284,279.01
  6. Step 6: Final answer
    x = 214,189.89

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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.