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Finding the Fourth Proportional to 521,429.70, 782,159.13 and 184,422.72

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Solution

The fourth proportional to 521,429.70, 782,159.13 and 184,422.72 is: 276,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,429.70 : 782,159.13 = 184,422.72 : x
  2. Step 2: Convert to fraction form
    521,429.70/782,159.13 = 184,422.72/x
  3. Step 3: Cross multiply
    521,429.70x = 782,159.13 × 184,422.72
  4. Step 4: Simplify right side
    521,429.70x = 144,247,914,227.43
  5. Step 5: Solve for x
    x = 144,247,914,227.43/521,429.70
  6. Step 6: Final answer
    x = 276,639.24

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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.