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Finding the Fourth Proportional to 381,188.45, 525,985.68 and 228,190.05

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Solution

The fourth proportional to 381,188.45, 525,985.68 and 228,190.05 is: 314,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,188.45 : 525,985.68 = 228,190.05 : x
  2. Step 2: Convert to fraction form
    381,188.45/525,985.68 = 228,190.05/x
  3. Step 3: Cross multiply
    381,188.45x = 525,985.68 × 228,190.05
  4. Step 4: Simplify right side
    381,188.45x = 120,024,698,618.48
  5. Step 5: Solve for x
    x = 120,024,698,618.48/381,188.45
  6. Step 6: Final answer
    x = 314,869.72

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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.