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Finding the Fourth Proportional to 381,454.94, 525,207.57 and 323,970.86

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Solution

The fourth proportional to 381,454.94, 525,207.57 and 323,970.86 is: 446,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,454.94 : 525,207.57 = 323,970.86 : x
  2. Step 2: Convert to fraction form
    381,454.94/525,207.57 = 323,970.86/x
  3. Step 3: Cross multiply
    381,454.94x = 525,207.57 × 323,970.86
  4. Step 4: Simplify right side
    381,454.94x = 170,151,948,131.41
  5. Step 5: Solve for x
    x = 170,151,948,131.41/381,454.94
  6. Step 6: Final answer
    x = 446,060.41

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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.