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Finding the Fourth Proportional to 380,729.67, 525,340.35 and 217,311.57

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Solution

The fourth proportional to 380,729.67, 525,340.35 and 217,311.57 is: 299,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,729.67 : 525,340.35 = 217,311.57 : x
  2. Step 2: Convert to fraction form
    380,729.67/525,340.35 = 217,311.57/x
  3. Step 3: Cross multiply
    380,729.67x = 525,340.35 × 217,311.57
  4. Step 4: Simplify right side
    380,729.67x = 114,162,536,242.85
  5. Step 5: Solve for x
    x = 114,162,536,242.85/380,729.67
  6. Step 6: Final answer
    x = 299,851.96

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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.