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Finding the Fourth Proportional to 255,095.30, 382,642.95 and 220,103.30

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Solution

The fourth proportional to 255,095.30, 382,642.95 and 220,103.30 is: 330,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,095.30 : 382,642.95 = 220,103.30 : x
  2. Step 2: Convert to fraction form
    255,095.30/382,642.95 = 220,103.30/x
  3. Step 3: Cross multiply
    255,095.30x = 382,642.95 × 220,103.30
  4. Step 4: Simplify right side
    255,095.30x = 84,220,976,016.74
  5. Step 5: Solve for x
    x = 84,220,976,016.74/255,095.30
  6. Step 6: Final answer
    x = 330,154.95

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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.