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Finding the Fourth Proportional to 340,876.60, 511,391.70 and 104,230.20

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Solution

The fourth proportional to 340,876.60, 511,391.70 and 104,230.20 is: 156,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,876.60 : 511,391.70 = 104,230.20 : x
  2. Step 2: Convert to fraction form
    340,876.60/511,391.70 = 104,230.20/x
  3. Step 3: Cross multiply
    340,876.60x = 511,391.70 × 104,230.20
  4. Step 4: Simplify right side
    340,876.60x = 53,302,459,169.34
  5. Step 5: Solve for x
    x = 53,302,459,169.34/340,876.60
  6. Step 6: Final answer
    x = 156,368.78

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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.