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Finding the Fourth Proportional to 340,305.89, 510,339.69 and 100,356.08

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Solution

The fourth proportional to 340,305.89, 510,339.69 and 100,356.08 is: 150,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,305.89 : 510,339.69 = 100,356.08 : x
  2. Step 2: Convert to fraction form
    340,305.89/510,339.69 = 100,356.08/x
  3. Step 3: Cross multiply
    340,305.89x = 510,339.69 × 100,356.08
  4. Step 4: Simplify right side
    340,305.89x = 51,215,692,032.66
  5. Step 5: Solve for x
    x = 51,215,692,032.66/340,305.89
  6. Step 6: Final answer
    x = 150,498.99

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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.