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Finding the Fourth Proportional to 471,018.38, 649,671.15 and 289,491.98

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Solution

The fourth proportional to 471,018.38, 649,671.15 and 289,491.98 is: 399,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,018.38 : 649,671.15 = 289,491.98 : x
  2. Step 2: Convert to fraction form
    471,018.38/649,671.15 = 289,491.98/x
  3. Step 3: Cross multiply
    471,018.38x = 649,671.15 × 289,491.98
  4. Step 4: Simplify right side
    471,018.38x = 188,074,587,562.38
  5. Step 5: Solve for x
    x = 188,074,587,562.38/471,018.38
  6. Step 6: Final answer
    x = 399,293.52

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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.