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Finding the Fourth Proportional to 414,492.60, 621,738.90 and 314,959.80

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Solution

The fourth proportional to 414,492.60, 621,738.90 and 314,959.80 is: 472,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,492.60 : 621,738.90 = 314,959.80 : x
  2. Step 2: Convert to fraction form
    414,492.60/621,738.90 = 314,959.80/x
  3. Step 3: Cross multiply
    414,492.60x = 621,738.90 × 314,959.80
  4. Step 4: Simplify right side
    414,492.60x = 195,822,759,596.22
  5. Step 5: Solve for x
    x = 195,822,759,596.22/414,492.60
  6. Step 6: Final answer
    x = 472,439.70

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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.