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Finding the Fourth Proportional to 475,031.40, 711,942.30 and 194,231.40

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Solution

The fourth proportional to 475,031.40, 711,942.30 and 194,231.40 is: 291,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,031.40 : 711,942.30 = 194,231.40 : x
  2. Step 2: Convert to fraction form
    475,031.40/711,942.30 = 194,231.40/x
  3. Step 3: Cross multiply
    475,031.40x = 711,942.30 × 194,231.40
  4. Step 4: Simplify right side
    475,031.40x = 138,281,549,648.22
  5. Step 5: Solve for x
    x = 138,281,549,648.22/475,031.40
  6. Step 6: Final answer
    x = 291,099.81

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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.