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Finding the Fourth Proportional to 340,297.08, 510,297.68 and 103,584.30

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Solution

The fourth proportional to 340,297.08, 510,297.68 and 103,584.30 is: 155,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,297.08 : 510,297.68 = 103,584.30 : x
  2. Step 2: Convert to fraction form
    340,297.08/510,297.68 = 103,584.30/x
  3. Step 3: Cross multiply
    340,297.08x = 510,297.68 × 103,584.30
  4. Step 4: Simplify right side
    340,297.08x = 52,858,827,974.42
  5. Step 5: Solve for x
    x = 52,858,827,974.42/340,297.08
  6. Step 6: Final answer
    x = 155,331.42

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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.