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Finding the Fourth Proportional to 381,066.96, 525,915.76 and 219,965.28

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Solution

The fourth proportional to 381,066.96, 525,915.76 and 219,965.28 is: 303,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,066.96 : 525,915.76 = 219,965.28 : x
  2. Step 2: Convert to fraction form
    381,066.96/525,915.76 = 219,965.28/x
  3. Step 3: Cross multiply
    381,066.96x = 525,915.76 × 219,965.28
  4. Step 4: Simplify right side
    381,066.96x = 115,683,207,404.81
  5. Step 5: Solve for x
    x = 115,683,207,404.81/381,066.96
  6. Step 6: Final answer
    x = 303,577.11

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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.