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Finding the Fourth Proportional to 512,981.48, 707,892.54 and 283,527.02

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Solution

The fourth proportional to 512,981.48, 707,892.54 and 283,527.02 is: 391,255.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,981.48 : 707,892.54 = 283,527.02 : x
  2. Step 2: Convert to fraction form
    512,981.48/707,892.54 = 283,527.02/x
  3. Step 3: Cross multiply
    512,981.48x = 707,892.54 × 283,527.02
  4. Step 4: Simplify right side
    512,981.48x = 200,706,662,346.43
  5. Step 5: Solve for x
    x = 200,706,662,346.43/512,981.48
  6. Step 6: Final answer
    x = 391,255.18

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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.