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Finding the Fourth Proportional to 380,792.80, 525,514.98 and 211,023.28

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Solution

The fourth proportional to 380,792.80, 525,514.98 and 211,023.28 is: 291,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,792.80 : 525,514.98 = 211,023.28 : x
  2. Step 2: Convert to fraction form
    380,792.80/525,514.98 = 211,023.28/x
  3. Step 3: Cross multiply
    380,792.80x = 525,514.98 × 211,023.28
  4. Step 4: Simplify right side
    380,792.80x = 110,895,894,768.73
  5. Step 5: Solve for x
    x = 110,895,894,768.73/380,792.80
  6. Step 6: Final answer
    x = 291,223.72

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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.