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Finding the Fourth Proportional to 381,088.80, 525,915.18 and 209,018.88

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Solution

The fourth proportional to 381,088.80, 525,915.18 and 209,018.88 is: 288,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,088.80 : 525,915.18 = 209,018.88 : x
  2. Step 2: Convert to fraction form
    381,088.80/525,915.18 = 209,018.88/x
  3. Step 3: Cross multiply
    381,088.80x = 525,915.18 × 209,018.88
  4. Step 4: Simplify right side
    381,088.80x = 109,926,201,898.60
  5. Step 5: Solve for x
    x = 109,926,201,898.60/381,088.80
  6. Step 6: Final answer
    x = 288,452.98

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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.