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Finding the Fourth Proportional to 382,412.09, 527,729.12 and 212,642.57

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Solution

The fourth proportional to 382,412.09, 527,729.12 and 212,642.57 is: 293,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.09 : 527,729.12 = 212,642.57 : x
  2. Step 2: Convert to fraction form
    382,412.09/527,729.12 = 212,642.57/x
  3. Step 3: Cross multiply
    382,412.09x = 527,729.12 × 212,642.57
  4. Step 4: Simplify right side
    382,412.09x = 112,217,672,638.78
  5. Step 5: Solve for x
    x = 112,217,672,638.78/382,412.09
  6. Step 6: Final answer
    x = 293,446.98

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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.