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Finding the Fourth Proportional to 382,117.64, 527,317.62 and 220,968.20

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Solution

The fourth proportional to 382,117.64, 527,317.62 and 220,968.20 is: 304,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,117.64 : 527,317.62 = 220,968.20 : x
  2. Step 2: Convert to fraction form
    382,117.64/527,317.62 = 220,968.20/x
  3. Step 3: Cross multiply
    382,117.64x = 527,317.62 × 220,968.20
  4. Step 4: Simplify right side
    382,117.64x = 116,520,425,319.68
  5. Step 5: Solve for x
    x = 116,520,425,319.68/382,117.64
  6. Step 6: Final answer
    x = 304,933.38

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1.5x scale

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.