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Finding the Fourth Proportional to 380,286.66, 570,392.85 and 99,803.91

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Solution

The fourth proportional to 380,286.66, 570,392.85 and 99,803.91 is: 149,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,286.66 : 570,392.85 = 99,803.91 : x
  2. Step 2: Convert to fraction form
    380,286.66/570,392.85 = 99,803.91/x
  3. Step 3: Cross multiply
    380,286.66x = 570,392.85 × 99,803.91
  4. Step 4: Simplify right side
    380,286.66x = 56,927,439,179.28
  5. Step 5: Solve for x
    x = 56,927,439,179.28/380,286.66
  6. Step 6: Final answer
    x = 149,696.12

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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.