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Finding the Fourth Proportional to 410,046.29, 614,570.77 and 290,137.79

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Solution

The fourth proportional to 410,046.29, 614,570.77 and 290,137.79 is: 434,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,046.29 : 614,570.77 = 290,137.79 : x
  2. Step 2: Convert to fraction form
    410,046.29/614,570.77 = 290,137.79/x
  3. Step 3: Cross multiply
    410,046.29x = 614,570.77 × 290,137.79
  4. Step 4: Simplify right side
    410,046.29x = 178,310,201,208.20
  5. Step 5: Solve for x
    x = 178,310,201,208.20/410,046.29
  6. Step 6: Final answer
    x = 434,853.84

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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.