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Finding the Fourth Proportional to 340,511.30, 510,769.65 and 103,856.30

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Solution

The fourth proportional to 340,511.30, 510,769.65 and 103,856.30 is: 155,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,511.30 : 510,769.65 = 103,856.30 : x
  2. Step 2: Convert to fraction form
    340,511.30/510,769.65 = 103,856.30/x
  3. Step 3: Cross multiply
    340,511.30x = 510,769.65 × 103,856.30
  4. Step 4: Simplify right side
    340,511.30x = 53,046,646,001.30
  5. Step 5: Solve for x
    x = 53,046,646,001.30/340,511.30
  6. Step 6: Final answer
    x = 155,785.27

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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.