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Finding the Fourth Proportional to 281,551.32, 421,345.22 and 230,358.71

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Solution

The fourth proportional to 281,551.32, 421,345.22 and 230,358.71 is: 344,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,551.32 : 421,345.22 = 230,358.71 : x
  2. Step 2: Convert to fraction form
    281,551.32/421,345.22 = 230,358.71/x
  3. Step 3: Cross multiply
    281,551.32x = 421,345.22 × 230,358.71
  4. Step 4: Simplify right side
    281,551.32x = 97,060,538,085.35
  5. Step 5: Solve for x
    x = 97,060,538,085.35/281,551.32
  6. Step 6: Final answer
    x = 344,734.80

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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.