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Finding the Fourth Proportional to 340,285.77, 510,475.37 and 115,585.90

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Solution

The fourth proportional to 340,285.77, 510,475.37 and 115,585.90 is: 173,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,285.77 : 510,475.37 = 115,585.90 : x
  2. Step 2: Convert to fraction form
    340,285.77/510,475.37 = 115,585.90/x
  3. Step 3: Cross multiply
    340,285.77x = 510,475.37 × 115,585.90
  4. Step 4: Simplify right side
    340,285.77x = 59,003,753,215.17
  5. Step 5: Solve for x
    x = 59,003,753,215.17/340,285.77
  6. Step 6: Final answer
    x = 173,394.71

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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.