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Finding the Fourth Proportional to 233,700.78, 322,529.82 and 138,238.22

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Solution

The fourth proportional to 233,700.78, 322,529.82 and 138,238.22 is: 190,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,700.78 : 322,529.82 = 138,238.22 : x
  2. Step 2: Convert to fraction form
    233,700.78/322,529.82 = 138,238.22/x
  3. Step 3: Cross multiply
    233,700.78x = 322,529.82 × 138,238.22
  4. Step 4: Simplify right side
    233,700.78x = 44,585,948,213.72
  5. Step 5: Solve for x
    x = 44,585,948,213.72/233,700.78
  6. Step 6: Final answer
    x = 190,782.20

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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.