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Finding the Fourth Proportional to 563,538.84, 777,800.97 and 518,144.61

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Solution

The fourth proportional to 563,538.84, 777,800.97 and 518,144.61 is: 715,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,538.84 : 777,800.97 = 518,144.61 : x
  2. Step 2: Convert to fraction form
    563,538.84/777,800.97 = 518,144.61/x
  3. Step 3: Cross multiply
    563,538.84x = 777,800.97 × 518,144.61
  4. Step 4: Simplify right side
    563,538.84x = 403,013,380,258.27
  5. Step 5: Solve for x
    x = 403,013,380,258.27/563,538.84
  6. Step 6: Final answer
    x = 715,147.48

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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.