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Finding the Fourth Proportional to 258,011, 386,917.08 and 100,218.68

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Solution

The fourth proportional to 258,011, 386,917.08 and 100,218.68 is: 150,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,011 : 386,917.08 = 100,218.68 : x
  2. Step 2: Convert to fraction form
    258,011/386,917.08 = 100,218.68/x
  3. Step 3: Cross multiply
    258,011x = 386,917.08 × 100,218.68
  4. Step 4: Simplify right side
    258,011x = 38,776,319,027.05
  5. Step 5: Solve for x
    x = 38,776,319,027.05/258,011
  6. Step 6: Final answer
    x = 150,289.40

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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.