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Finding the Fourth Proportional to 305,864.30, 458,796.45 and 81,259.40

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Solution

The fourth proportional to 305,864.30, 458,796.45 and 81,259.40 is: 121,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864.30 : 458,796.45 = 81,259.40 : x
  2. Step 2: Convert to fraction form
    305,864.30/458,796.45 = 81,259.40/x
  3. Step 3: Cross multiply
    305,864.30x = 458,796.45 × 81,259.40
  4. Step 4: Simplify right side
    305,864.30x = 37,281,524,249.13
  5. Step 5: Solve for x
    x = 37,281,524,249.13/305,864.30
  6. Step 6: Final answer
    x = 121,889.10

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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.