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Finding the Fourth Proportional to 340,472, 510,805.44 and 115,881.92

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Solution

The fourth proportional to 340,472, 510,805.44 and 115,881.92 is: 173,856.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,472 : 510,805.44 = 115,881.92 : x
  2. Step 2: Convert to fraction form
    340,472/510,805.44 = 115,881.92/x
  3. Step 3: Cross multiply
    340,472x = 510,805.44 × 115,881.92
  4. Step 4: Simplify right side
    340,472x = 59,193,115,133.64
  5. Step 5: Solve for x
    x = 59,193,115,133.64/340,472
  6. Step 6: Final answer
    x = 173,856.04

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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.