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Finding the Fourth Proportional to 253,953.35, 380,595.80 and 141,686.42

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Solution

The fourth proportional to 253,953.35, 380,595.80 and 141,686.42 is: 212,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,953.35 : 380,595.80 = 141,686.42 : x
  2. Step 2: Convert to fraction form
    253,953.35/380,595.80 = 141,686.42/x
  3. Step 3: Cross multiply
    253,953.35x = 380,595.80 × 141,686.42
  4. Step 4: Simplify right side
    253,953.35x = 53,925,257,674.74
  5. Step 5: Solve for x
    x = 53,925,257,674.74/253,953.35
  6. Step 6: Final answer
    x = 212,343.17

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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.