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Finding the Fourth Proportional to 638,022.76, 957,037.76 and 164,675.76

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Solution

The fourth proportional to 638,022.76, 957,037.76 and 164,675.76 is: 247,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,022.76 : 957,037.76 = 164,675.76 : x
  2. Step 2: Convert to fraction form
    638,022.76/957,037.76 = 164,675.76/x
  3. Step 3: Cross multiply
    638,022.76x = 957,037.76 × 164,675.76
  4. Step 4: Simplify right side
    638,022.76x = 157,600,920,476.70
  5. Step 5: Solve for x
    x = 157,600,920,476.70/638,022.76
  6. Step 6: Final answer
    x = 247,014.57

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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.