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Finding the Fourth Proportional to 260,234.47, 390,085.84 and 147,676.96

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Solution

The fourth proportional to 260,234.47, 390,085.84 and 147,676.96 is: 221,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,234.47 : 390,085.84 = 147,676.96 : x
  2. Step 2: Convert to fraction form
    260,234.47/390,085.84 = 147,676.96/x
  3. Step 3: Cross multiply
    260,234.47x = 390,085.84 × 147,676.96
  4. Step 4: Simplify right side
    260,234.47x = 57,606,688,301.43
  5. Step 5: Solve for x
    x = 57,606,688,301.43/260,234.47
  6. Step 6: Final answer
    x = 221,364.56

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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.