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Finding the Fourth Proportional to 475,619.40, 712,824.30 and 194,819.40

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Solution

The fourth proportional to 475,619.40, 712,824.30 and 194,819.40 is: 291,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,619.40 : 712,824.30 = 194,819.40 : x
  2. Step 2: Convert to fraction form
    475,619.40/712,824.30 = 194,819.40/x
  3. Step 3: Cross multiply
    475,619.40x = 712,824.30 × 194,819.40
  4. Step 4: Simplify right side
    475,619.40x = 138,872,002,431.42
  5. Step 5: Solve for x
    x = 138,872,002,431.42/475,619.40
  6. Step 6: Final answer
    x = 291,981.37

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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.