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Finding the Fourth Proportional to 428,760.16, 591,956.54 and 276,063.08

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Solution

The fourth proportional to 428,760.16, 591,956.54 and 276,063.08 is: 381,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,760.16 : 591,956.54 = 276,063.08 : x
  2. Step 2: Convert to fraction form
    428,760.16/591,956.54 = 276,063.08/x
  3. Step 3: Cross multiply
    428,760.16x = 591,956.54 × 276,063.08
  4. Step 4: Simplify right side
    428,760.16x = 163,417,345,658.54
  5. Step 5: Solve for x
    x = 163,417,345,658.54/428,760.16
  6. Step 6: Final answer
    x = 381,139.30

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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.