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Finding the Fourth Proportional to 538,096.80, 808,894.80 and 381,410.40

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Solution

The fourth proportional to 538,096.80, 808,894.80 and 381,410.40 is: 573,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,096.80 : 808,894.80 = 381,410.40 : x
  2. Step 2: Convert to fraction form
    538,096.80/808,894.80 = 381,410.40/x
  3. Step 3: Cross multiply
    538,096.80x = 808,894.80 × 381,410.40
  4. Step 4: Simplify right side
    538,096.80x = 308,520,889,225.92
  5. Step 5: Solve for x
    x = 308,520,889,225.92/538,096.80
  6. Step 6: Final answer
    x = 573,355.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.