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Finding the Fourth Proportional to 340,100.40, 510,134.40 and 115,438.80

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Solution

The fourth proportional to 340,100.40, 510,134.40 and 115,438.80 is: 173,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,100.40 : 510,134.40 = 115,438.80 : x
  2. Step 2: Convert to fraction form
    340,100.40/510,134.40 = 115,438.80/x
  3. Step 3: Cross multiply
    340,100.40x = 510,134.40 × 115,438.80
  4. Step 4: Simplify right side
    340,100.40x = 58,889,302,974.72
  5. Step 5: Solve for x
    x = 58,889,302,974.72/340,100.40
  6. Step 6: Final answer
    x = 173,152.70

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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.