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Finding the Fourth Proportional to 340,758.34, 511,142.85 and 100,896.58

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Solution

The fourth proportional to 340,758.34, 511,142.85 and 100,896.58 is: 151,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,758.34 : 511,142.85 = 100,896.58 : x
  2. Step 2: Convert to fraction form
    340,758.34/511,142.85 = 100,896.58/x
  3. Step 3: Cross multiply
    340,758.34x = 511,142.85 × 100,896.58
  4. Step 4: Simplify right side
    340,758.34x = 51,572,566,095.38
  5. Step 5: Solve for x
    x = 51,572,566,095.38/340,758.34
  6. Step 6: Final answer
    x = 151,346.45

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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.