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Finding the Fourth Proportional to 291,644, 402,643.68 and 191,216.96

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Solution

The fourth proportional to 291,644, 402,643.68 and 191,216.96 is: 263,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,644 : 402,643.68 = 191,216.96 : x
  2. Step 2: Convert to fraction form
    291,644/402,643.68 = 191,216.96/x
  3. Step 3: Cross multiply
    291,644x = 402,643.68 × 191,216.96
  4. Step 4: Simplify right side
    291,644x = 76,992,300,452.81
  5. Step 5: Solve for x
    x = 76,992,300,452.81/291,644
  6. Step 6: Final answer
    x = 263,994.12

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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.