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Finding the Fourth Proportional to 324,009.06, 486,006.30 and 146,468.40

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Solution

The fourth proportional to 324,009.06, 486,006.30 and 146,468.40 is: 219,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,009.06 : 486,006.30 = 146,468.40 : x
  2. Step 2: Convert to fraction form
    324,009.06/486,006.30 = 146,468.40/x
  3. Step 3: Cross multiply
    324,009.06x = 486,006.30 × 146,468.40
  4. Step 4: Simplify right side
    324,009.06x = 71,184,565,150.92
  5. Step 5: Solve for x
    x = 71,184,565,150.92/324,009.06
  6. Step 6: Final answer
    x = 219,699.30

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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.