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Finding the Fourth Proportional to 384,200.70, 538,668.30 and 384,200.70

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Solution

The fourth proportional to 384,200.70, 538,668.30 and 384,200.70 is: 538,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.70 : 538,668.30 = 384,200.70 : x
  2. Step 2: Convert to fraction form
    384,200.70/538,668.30 = 384,200.70/x
  3. Step 3: Cross multiply
    384,200.70x = 538,668.30 × 384,200.70
  4. Step 4: Simplify right side
    384,200.70x = 206,956,737,927.81
  5. Step 5: Solve for x
    x = 206,956,737,927.81/384,200.70
  6. Step 6: Final answer
    x = 538,668.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.