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Finding the Fourth Proportional to 340,404, 510,839.28 and 118,788

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Solution

The fourth proportional to 340,404, 510,839.28 and 118,788 is: 178,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,404 : 510,839.28 = 118,788 : x
  2. Step 2: Convert to fraction form
    340,404/510,839.28 = 118,788/x
  3. Step 3: Cross multiply
    340,404x = 510,839.28 × 118,788
  4. Step 4: Simplify right side
    340,404x = 60,681,576,392.64
  5. Step 5: Solve for x
    x = 60,681,576,392.64/340,404
  6. Step 6: Final answer
    x = 178,263.41

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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.