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Finding the Fourth Proportional to 389,878.70, 538,007.30 and 226,520.74

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Solution

The fourth proportional to 389,878.70, 538,007.30 and 226,520.74 is: 312,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,878.70 : 538,007.30 = 226,520.74 : x
  2. Step 2: Convert to fraction form
    389,878.70/538,007.30 = 226,520.74/x
  3. Step 3: Cross multiply
    389,878.70x = 538,007.30 × 226,520.74
  4. Step 4: Simplify right side
    389,878.70x = 121,869,807,898.76
  5. Step 5: Solve for x
    x = 121,869,807,898.76/389,878.70
  6. Step 6: Final answer
    x = 312,583.91

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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.