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Finding the Fourth Proportional to 340,324.48, 510,486.72 and 91,000

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Solution

The fourth proportional to 340,324.48, 510,486.72 and 91,000 is: 136,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,324.48 : 510,486.72 = 91,000 : x
  2. Step 2: Convert to fraction form
    340,324.48/510,486.72 = 91,000/x
  3. Step 3: Cross multiply
    340,324.48x = 510,486.72 × 91,000
  4. Step 4: Simplify right side
    340,324.48x = 46,454,291,520
  5. Step 5: Solve for x
    x = 46,454,291,520/340,324.48
  6. Step 6: Final answer
    x = 136,500

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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.