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Finding the Fourth Proportional to 255,222, 382,803.81 and 68,248.08

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Solution

The fourth proportional to 255,222, 382,803.81 and 68,248.08 is: 102,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222 : 382,803.81 = 68,248.08 : x
  2. Step 2: Convert to fraction form
    255,222/382,803.81 = 68,248.08/x
  3. Step 3: Cross multiply
    255,222x = 382,803.81 × 68,248.08
  4. Step 4: Simplify right side
    255,222x = 26,125,625,049.18
  5. Step 5: Solve for x
    x = 26,125,625,049.18/255,222
  6. Step 6: Final answer
    x = 102,364.31

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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.