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Finding the Fourth Proportional to 508,529.81, 762,769.91 and 188,743.91

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Solution

The fourth proportional to 508,529.81, 762,769.91 and 188,743.91 is: 283,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,529.81 : 762,769.91 = 188,743.91 : x
  2. Step 2: Convert to fraction form
    508,529.81/762,769.91 = 188,743.91/x
  3. Step 3: Cross multiply
    508,529.81x = 762,769.91 × 188,743.91
  4. Step 4: Simplify right side
    508,529.81x = 143,968,171,901.76
  5. Step 5: Solve for x
    x = 143,968,171,901.76/508,529.81
  6. Step 6: Final answer
    x = 283,106.65

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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.