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Finding the Fourth Proportional to 383,320, 528,981.78 and 213,565.24

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Solution

The fourth proportional to 383,320, 528,981.78 and 213,565.24 is: 294,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,320 : 528,981.78 = 213,565.24 : x
  2. Step 2: Convert to fraction form
    383,320/528,981.78 = 213,565.24/x
  3. Step 3: Cross multiply
    383,320x = 528,981.78 × 213,565.24
  4. Step 4: Simplify right side
    383,320x = 112,972,120,801.33
  5. Step 5: Solve for x
    x = 112,972,120,801.33/383,320
  6. Step 6: Final answer
    x = 294,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.