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Finding the Fourth Proportional to 407,478.46, 611,217.15 and 154,758.46

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Solution

The fourth proportional to 407,478.46, 611,217.15 and 154,758.46 is: 232,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,478.46 : 611,217.15 = 154,758.46 : x
  2. Step 2: Convert to fraction form
    407,478.46/611,217.15 = 154,758.46/x
  3. Step 3: Cross multiply
    407,478.46x = 611,217.15 × 154,758.46
  4. Step 4: Simplify right side
    407,478.46x = 94,591,024,859.59
  5. Step 5: Solve for x
    x = 94,591,024,859.59/407,478.46
  6. Step 6: Final answer
    x = 232,137.48

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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.