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Finding the Fourth Proportional to 257,501, 355,273.14 and 162,102.92

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Solution

The fourth proportional to 257,501, 355,273.14 and 162,102.92 is: 223,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,501 : 355,273.14 = 162,102.92 : x
  2. Step 2: Convert to fraction form
    257,501/355,273.14 = 162,102.92/x
  3. Step 3: Cross multiply
    257,501x = 355,273.14 × 162,102.92
  4. Step 4: Simplify right side
    257,501x = 57,590,813,391.57
  5. Step 5: Solve for x
    x = 57,590,813,391.57/257,501
  6. Step 6: Final answer
    x = 223,652.78

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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.