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Finding the Fourth Proportional to 255,209, 382,784.34 and 68,235.08

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Solution

The fourth proportional to 255,209, 382,784.34 and 68,235.08 is: 102,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,209 : 382,784.34 = 68,235.08 : x
  2. Step 2: Convert to fraction form
    255,209/382,784.34 = 68,235.08/x
  3. Step 3: Cross multiply
    255,209x = 382,784.34 × 68,235.08
  4. Step 4: Simplify right side
    255,209x = 26,119,320,062.65
  5. Step 5: Solve for x
    x = 26,119,320,062.65/255,209
  6. Step 6: Final answer
    x = 102,344.82

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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.