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Finding the Fourth Proportional to 340,511.80, 510,770.40 and 103,856.80

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Solution

The fourth proportional to 340,511.80, 510,770.40 and 103,856.80 is: 155,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,511.80 : 510,770.40 = 103,856.80 : x
  2. Step 2: Convert to fraction form
    340,511.80/510,770.40 = 103,856.80/x
  3. Step 3: Cross multiply
    340,511.80x = 510,770.40 × 103,856.80
  4. Step 4: Simplify right side
    340,511.80x = 53,046,979,278.72
  5. Step 5: Solve for x
    x = 53,046,979,278.72/340,511.80
  6. Step 6: Final answer
    x = 155,786.02

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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.