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Finding the Fourth Proportional to 340,612, 510,926.64 and 118,996

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Solution

The fourth proportional to 340,612, 510,926.64 and 118,996 is: 178,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,612 : 510,926.64 = 118,996 : x
  2. Step 2: Convert to fraction form
    340,612/510,926.64 = 118,996/x
  3. Step 3: Cross multiply
    340,612x = 510,926.64 × 118,996
  4. Step 4: Simplify right side
    340,612x = 60,798,226,453.44
  5. Step 5: Solve for x
    x = 60,798,226,453.44/340,612
  6. Step 6: Final answer
    x = 178,497.02

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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.