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Finding the Fourth Proportional to 517,661.76, 776,679.46 and 180,752.04

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Solution

The fourth proportional to 517,661.76, 776,679.46 and 180,752.04 is: 271,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,661.76 : 776,679.46 = 180,752.04 : x
  2. Step 2: Convert to fraction form
    517,661.76/776,679.46 = 180,752.04/x
  3. Step 3: Cross multiply
    517,661.76x = 776,679.46 × 180,752.04
  4. Step 4: Simplify right side
    517,661.76x = 140,386,396,821.10
  5. Step 5: Solve for x
    x = 140,386,396,821.10/517,661.76
  6. Step 6: Final answer
    x = 271,193.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.