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Finding the Fourth Proportional to 540,470.99, 745,849.72 and 298,753.67

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Solution

The fourth proportional to 540,470.99, 745,849.72 and 298,753.67 is: 412,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,470.99 : 745,849.72 = 298,753.67 : x
  2. Step 2: Convert to fraction form
    540,470.99/745,849.72 = 298,753.67/x
  3. Step 3: Cross multiply
    540,470.99x = 745,849.72 × 298,753.67
  4. Step 4: Simplify right side
    540,470.99x = 222,825,341,118.47
  5. Step 5: Solve for x
    x = 222,825,341,118.47/540,470.99
  6. Step 6: Final answer
    x = 412,279.93

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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.