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Finding the Fourth Proportional to 428,785.84, 591,709.52 and 237,817

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Solution

The fourth proportional to 428,785.84, 591,709.52 and 237,817 is: 328,179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,785.84 : 591,709.52 = 237,817 : x
  2. Step 2: Convert to fraction form
    428,785.84/591,709.52 = 237,817/x
  3. Step 3: Cross multiply
    428,785.84x = 591,709.52 × 237,817
  4. Step 4: Simplify right side
    428,785.84x = 140,718,582,917.84
  5. Step 5: Solve for x
    x = 140,718,582,917.84/428,785.84
  6. Step 6: Final answer
    x = 328,179.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.