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Finding the Fourth Proportional to 471,490.12, 650,670.41 and 290,306.58

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Solution

The fourth proportional to 471,490.12, 650,670.41 and 290,306.58 is: 400,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,490.12 : 650,670.41 = 290,306.58 : x
  2. Step 2: Convert to fraction form
    471,490.12/650,670.41 = 290,306.58/x
  3. Step 3: Cross multiply
    471,490.12x = 650,670.41 × 290,306.58
  4. Step 4: Simplify right side
    471,490.12x = 188,893,901,434.30
  5. Step 5: Solve for x
    x = 188,893,901,434.30/471,490.12
  6. Step 6: Final answer
    x = 400,631.73

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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.