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Finding the Fourth Proportional to 253,400.63, 349,703.80 and 140,223.38

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Solution

The fourth proportional to 253,400.63, 349,703.80 and 140,223.38 is: 193,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,400.63 : 349,703.80 = 140,223.38 : x
  2. Step 2: Convert to fraction form
    253,400.63/349,703.80 = 140,223.38/x
  3. Step 3: Cross multiply
    253,400.63x = 349,703.80 × 140,223.38
  4. Step 4: Simplify right side
    253,400.63x = 49,036,646,735.77
  5. Step 5: Solve for x
    x = 49,036,646,735.77/253,400.63
  6. Step 6: Final answer
    x = 193,514.31

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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.