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Finding the Fourth Proportional to 459,698.80, 689,548.20 and 398,873.20

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Solution

The fourth proportional to 459,698.80, 689,548.20 and 398,873.20 is: 598,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,698.80 : 689,548.20 = 398,873.20 : x
  2. Step 2: Convert to fraction form
    459,698.80/689,548.20 = 398,873.20/x
  3. Step 3: Cross multiply
    459,698.80x = 689,548.20 × 398,873.20
  4. Step 4: Simplify right side
    459,698.80x = 275,042,297,088.24
  5. Step 5: Solve for x
    x = 275,042,297,088.24/459,698.80
  6. Step 6: Final answer
    x = 598,309.80

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Similar ratio
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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.