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Finding the Fourth Proportional to 247,309, 370,714.25 and 97,491.31

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Solution

The fourth proportional to 247,309, 370,714.25 and 97,491.31 is: 146,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,309 : 370,714.25 = 97,491.31 : x
  2. Step 2: Convert to fraction form
    247,309/370,714.25 = 97,491.31/x
  3. Step 3: Cross multiply
    247,309x = 370,714.25 × 97,491.31
  4. Step 4: Simplify right side
    247,309x = 36,141,417,380.71
  5. Step 5: Solve for x
    x = 36,141,417,380.71/247,309
  6. Step 6: Final answer
    x = 146,138.71

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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.