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Finding the Fourth Proportional to 340,976.38, 511,316.35 and 97,763.89

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Solution

The fourth proportional to 340,976.38, 511,316.35 and 97,763.89 is: 146,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,976.38 : 511,316.35 = 97,763.89 : x
  2. Step 2: Convert to fraction form
    340,976.38/511,316.35 = 97,763.89/x
  3. Step 3: Cross multiply
    340,976.38x = 511,316.35 × 97,763.89
  4. Step 4: Simplify right side
    340,976.38x = 49,988,273,873.90
  5. Step 5: Solve for x
    x = 49,988,273,873.90/340,976.38
  6. Step 6: Final answer
    x = 146,603.33

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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.