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Finding the Fourth Proportional to 253,228.92, 349,563.51 and 157,782.78

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Solution

The fourth proportional to 253,228.92, 349,563.51 and 157,782.78 is: 217,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,228.92 : 349,563.51 = 157,782.78 : x
  2. Step 2: Convert to fraction form
    253,228.92/349,563.51 = 157,782.78/x
  3. Step 3: Cross multiply
    253,228.92x = 349,563.51 × 157,782.78
  4. Step 4: Simplify right side
    253,228.92x = 55,155,102,394.36
  5. Step 5: Solve for x
    x = 55,155,102,394.36/253,228.92
  6. Step 6: Final answer
    x = 217,807.28

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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.