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Finding the Fourth Proportional to 270,451.10, 405,715.05 and 83,443.10

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Solution

The fourth proportional to 270,451.10, 405,715.05 and 83,443.10 is: 125,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,451.10 : 405,715.05 = 83,443.10 : x
  2. Step 2: Convert to fraction form
    270,451.10/405,715.05 = 83,443.10/x
  3. Step 3: Cross multiply
    270,451.10x = 405,715.05 × 83,443.10
  4. Step 4: Simplify right side
    270,451.10x = 33,854,121,488.66
  5. Step 5: Solve for x
    x = 33,854,121,488.66/270,451.10
  6. Step 6: Final answer
    x = 125,176.50

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1.5x scale

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.