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Finding the Fourth Proportional to 340,115.40, 510,181.50 and 162,641.16

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Solution

The fourth proportional to 340,115.40, 510,181.50 and 162,641.16 is: 243,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,115.40 : 510,181.50 = 162,641.16 : x
  2. Step 2: Convert to fraction form
    340,115.40/510,181.50 = 162,641.16/x
  3. Step 3: Cross multiply
    340,115.40x = 510,181.50 × 162,641.16
  4. Step 4: Simplify right side
    340,115.40x = 82,976,510,970.54
  5. Step 5: Solve for x
    x = 82,976,510,970.54/340,115.40
  6. Step 6: Final answer
    x = 243,965.76

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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.