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Finding the Fourth Proportional to 471,017.38, 649,669.77 and 289,490.98

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Solution

The fourth proportional to 471,017.38, 649,669.77 and 289,490.98 is: 399,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,017.38 : 649,669.77 = 289,490.98 : x
  2. Step 2: Convert to fraction form
    471,017.38/649,669.77 = 289,490.98/x
  3. Step 3: Cross multiply
    471,017.38x = 649,669.77 × 289,490.98
  4. Step 4: Simplify right side
    471,017.38x = 188,073,538,393.68
  5. Step 5: Solve for x
    x = 188,073,538,393.68/471,017.38
  6. Step 6: Final answer
    x = 399,292.14

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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.