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Finding the Fourth Proportional to 471,475.96, 650,650.86 and 290,292.39

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Solution

The fourth proportional to 471,475.96, 650,650.86 and 290,292.39 is: 400,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,475.96 : 650,650.86 = 290,292.39 : x
  2. Step 2: Convert to fraction form
    471,475.96/650,650.86 = 290,292.39/x
  3. Step 3: Cross multiply
    471,475.96x = 650,650.86 × 290,292.39
  4. Step 4: Simplify right side
    471,475.96x = 188,878,993,204.96
  5. Step 5: Solve for x
    x = 188,878,993,204.96/471,475.96
  6. Step 6: Final answer
    x = 400,612.14

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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.