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Finding the Fourth Proportional to 638,285.16, 957,424.86 and 164,930.28

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Solution

The fourth proportional to 638,285.16, 957,424.86 and 164,930.28 is: 247,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,285.16 : 957,424.86 = 164,930.28 : x
  2. Step 2: Convert to fraction form
    638,285.16/957,424.86 = 164,930.28/x
  3. Step 3: Cross multiply
    638,285.16x = 957,424.86 × 164,930.28
  4. Step 4: Simplify right side
    638,285.16x = 157,908,350,238.76
  5. Step 5: Solve for x
    x = 157,908,350,238.76/638,285.16
  6. Step 6: Final answer
    x = 247,394.68

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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.