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Finding the Fourth Proportional to 253,953.72, 380,596.37 and 141,686.80

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Solution

The fourth proportional to 253,953.72, 380,596.37 and 141,686.80 is: 212,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,953.72 : 380,596.37 = 141,686.80 : x
  2. Step 2: Convert to fraction form
    253,953.72/380,596.37 = 141,686.80/x
  3. Step 3: Cross multiply
    253,953.72x = 380,596.37 × 141,686.80
  4. Step 4: Simplify right side
    253,953.72x = 53,925,480,096.99
  5. Step 5: Solve for x
    x = 53,925,480,096.99/253,953.72
  6. Step 6: Final answer
    x = 212,343.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.