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Finding the Fourth Proportional to 253,646.22, 349,986.78 and 146,220.78

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Solution

The fourth proportional to 253,646.22, 349,986.78 and 146,220.78 is: 201,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,646.22 : 349,986.78 = 146,220.78 : x
  2. Step 2: Convert to fraction form
    253,646.22/349,986.78 = 146,220.78/x
  3. Step 3: Cross multiply
    253,646.22x = 349,986.78 × 146,220.78
  4. Step 4: Simplify right side
    253,646.22x = 51,175,339,961.29
  5. Step 5: Solve for x
    x = 51,175,339,961.29/253,646.22
  6. Step 6: Final answer
    x = 201,758.73

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1.5x scale

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.