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Finding the Fourth Proportional to 517,685.12, 776,581.20 and 143,708.24

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Solution

The fourth proportional to 517,685.12, 776,581.20 and 143,708.24 is: 215,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,685.12 : 776,581.20 = 143,708.24 : x
  2. Step 2: Convert to fraction form
    517,685.12/776,581.20 = 143,708.24/x
  3. Step 3: Cross multiply
    517,685.12x = 776,581.20 × 143,708.24
  4. Step 4: Simplify right side
    517,685.12x = 111,601,117,469.09
  5. Step 5: Solve for x
    x = 111,601,117,469.09/517,685.12
  6. Step 6: Final answer
    x = 215,577.22

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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.