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Finding the Fourth Proportional to 414,913.40, 622,830.90 and 257,319.80

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Solution

The fourth proportional to 414,913.40, 622,830.90 and 257,319.80 is: 386,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,913.40 : 622,830.90 = 257,319.80 : x
  2. Step 2: Convert to fraction form
    414,913.40/622,830.90 = 257,319.80/x
  3. Step 3: Cross multiply
    414,913.40x = 622,830.90 × 257,319.80
  4. Step 4: Simplify right side
    414,913.40x = 160,266,722,621.82
  5. Step 5: Solve for x
    x = 160,266,722,621.82/414,913.40
  6. Step 6: Final answer
    x = 386,265.48

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1.5x scale

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.