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Finding the Fourth Proportional to 517,873.32, 776,744.10 and 218,472.84

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Solution

The fourth proportional to 517,873.32, 776,744.10 and 218,472.84 is: 327,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,873.32 : 776,744.10 = 218,472.84 : x
  2. Step 2: Convert to fraction form
    517,873.32/776,744.10 = 218,472.84/x
  3. Step 3: Cross multiply
    517,873.32x = 776,744.10 × 218,472.84
  4. Step 4: Simplify right side
    517,873.32x = 169,697,489,480.24
  5. Step 5: Solve for x
    x = 169,697,489,480.24/517,873.32
  6. Step 6: Final answer
    x = 327,681.47

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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.