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Finding the Fourth Proportional to 540,339.73, 810,417.66 and 180,469.78

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Solution

The fourth proportional to 540,339.73, 810,417.66 and 180,469.78 is: 270,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,339.73 : 810,417.66 = 180,469.78 : x
  2. Step 2: Convert to fraction form
    540,339.73/810,417.66 = 180,469.78/x
  3. Step 3: Cross multiply
    540,339.73x = 810,417.66 × 180,469.78
  4. Step 4: Simplify right side
    540,339.73x = 146,255,896,808.32
  5. Step 5: Solve for x
    x = 146,255,896,808.32/540,339.73
  6. Step 6: Final answer
    x = 270,673.96

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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.