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Finding the Fourth Proportional to 540,594.50, 745,981.11 and 298,879.97

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Solution

The fourth proportional to 540,594.50, 745,981.11 and 298,879.97 is: 412,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,594.50 : 745,981.11 = 298,879.97 : x
  2. Step 2: Convert to fraction form
    540,594.50/745,981.11 = 298,879.97/x
  3. Step 3: Cross multiply
    540,594.50x = 745,981.11 × 298,879.97
  4. Step 4: Simplify right side
    540,594.50x = 222,958,808,047.46
  5. Step 5: Solve for x
    x = 222,958,808,047.46/540,594.50
  6. Step 6: Final answer
    x = 412,432.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.