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Finding the Fourth Proportional to 281,345.78, 422,019.42 and 70,983.72

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Solution

The fourth proportional to 281,345.78, 422,019.42 and 70,983.72 is: 106,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,345.78 : 422,019.42 = 70,983.72 : x
  2. Step 2: Convert to fraction form
    281,345.78/422,019.42 = 70,983.72/x
  3. Step 3: Cross multiply
    281,345.78x = 422,019.42 × 70,983.72
  4. Step 4: Simplify right side
    281,345.78x = 29,956,508,343.84
  5. Step 5: Solve for x
    x = 29,956,508,343.84/281,345.78
  6. Step 6: Final answer
    x = 106,475.77

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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.