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Finding the Fourth Proportional to 321,956.80, 482,740.80 and 144,430.72

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Solution

The fourth proportional to 321,956.80, 482,740.80 and 144,430.72 is: 216,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,956.80 : 482,740.80 = 144,430.72 : x
  2. Step 2: Convert to fraction form
    321,956.80/482,740.80 = 144,430.72/x
  3. Step 3: Cross multiply
    321,956.80x = 482,740.80 × 144,430.72
  4. Step 4: Simplify right side
    321,956.80x = 69,722,601,317.38
  5. Step 5: Solve for x
    x = 69,722,601,317.38/321,956.80
  6. Step 6: Final answer
    x = 216,558.87

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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.