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Finding the Fourth Proportional to 512,219.61, 706,844.50 and 282,771.97

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Solution

The fourth proportional to 512,219.61, 706,844.50 and 282,771.97 is: 390,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,219.61 : 706,844.50 = 282,771.97 : x
  2. Step 2: Convert to fraction form
    512,219.61/706,844.50 = 282,771.97/x
  3. Step 3: Cross multiply
    512,219.61x = 706,844.50 × 282,771.97
  4. Step 4: Simplify right side
    512,219.61x = 199,875,811,748.67
  5. Step 5: Solve for x
    x = 199,875,811,748.67/512,219.61
  6. Step 6: Final answer
    x = 390,215.07

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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.