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Finding the Fourth Proportional to 538,956.81, 808,435.22 and 164,931.21

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Solution

The fourth proportional to 538,956.81, 808,435.22 and 164,931.21 is: 247,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,956.81 : 808,435.22 = 164,931.21 : x
  2. Step 2: Convert to fraction form
    538,956.81/808,435.22 = 164,931.21/x
  3. Step 3: Cross multiply
    538,956.81x = 808,435.22 × 164,931.21
  4. Step 4: Simplify right side
    538,956.81x = 133,336,198,216.56
  5. Step 5: Solve for x
    x = 133,336,198,216.56/538,956.81
  6. Step 6: Final answer
    x = 247,396.82

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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.