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Finding the Fourth Proportional to 340,098.40, 510,131.40 and 115,436.80

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Solution

The fourth proportional to 340,098.40, 510,131.40 and 115,436.80 is: 173,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098.40 : 510,131.40 = 115,436.80 : x
  2. Step 2: Convert to fraction form
    340,098.40/510,131.40 = 115,436.80/x
  3. Step 3: Cross multiply
    340,098.40x = 510,131.40 × 115,436.80
  4. Step 4: Simplify right side
    340,098.40x = 58,887,936,395.52
  5. Step 5: Solve for x
    x = 58,887,936,395.52/340,098.40
  6. Step 6: Final answer
    x = 173,149.70

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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.