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Finding the Fourth Proportional to 517,794.80, 776,798.10 and 218,275.43

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Solution

The fourth proportional to 517,794.80, 776,798.10 and 218,275.43 is: 327,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,794.80 : 776,798.10 = 218,275.43 : x
  2. Step 2: Convert to fraction form
    517,794.80/776,798.10 = 218,275.43/x
  3. Step 3: Cross multiply
    517,794.80x = 776,798.10 × 218,275.43
  4. Step 4: Simplify right side
    517,794.80x = 169,555,935,416.69
  5. Step 5: Solve for x
    x = 169,555,935,416.69/517,794.80
  6. Step 6: Final answer
    x = 327,457.78

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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.