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Finding the Fourth Proportional to 382,314.90, 527,607.84 and 210,239.92

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Solution

The fourth proportional to 382,314.90, 527,607.84 and 210,239.92 is: 290,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,314.90 : 527,607.84 = 210,239.92 : x
  2. Step 2: Convert to fraction form
    382,314.90/527,607.84 = 210,239.92/x
  3. Step 3: Cross multiply
    382,314.90x = 527,607.84 × 210,239.92
  4. Step 4: Simplify right side
    382,314.90x = 110,924,230,072.97
  5. Step 5: Solve for x
    x = 110,924,230,072.97/382,314.90
  6. Step 6: Final answer
    x = 290,138.39

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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.