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Finding the Fourth Proportional to 380,478.46, 525,049.70 and 217,131.86

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Solution

The fourth proportional to 380,478.46, 525,049.70 and 217,131.86 is: 299,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,478.46 : 525,049.70 = 217,131.86 : x
  2. Step 2: Convert to fraction form
    380,478.46/525,049.70 = 217,131.86/x
  3. Step 3: Cross multiply
    380,478.46x = 525,049.70 × 217,131.86
  4. Step 4: Simplify right side
    380,478.46x = 114,005,017,953.44
  5. Step 5: Solve for x
    x = 114,005,017,953.44/380,478.46
  6. Step 6: Final answer
    x = 299,635.93

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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.