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Finding the Fourth Proportional to 340,380.24, 510,842.52 and 153,406.32

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Solution

The fourth proportional to 340,380.24, 510,842.52 and 153,406.32 is: 230,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,380.24 : 510,842.52 = 153,406.32 : x
  2. Step 2: Convert to fraction form
    340,380.24/510,842.52 = 153,406.32/x
  3. Step 3: Cross multiply
    340,380.24x = 510,842.52 × 153,406.32
  4. Step 4: Simplify right side
    340,380.24x = 78,366,471,092.73
  5. Step 5: Solve for x
    x = 78,366,471,092.73/340,380.24
  6. Step 6: Final answer
    x = 230,232.14

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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.