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Finding the Fourth Proportional to 398,552.40, 598,168.80 and 162,064.80

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Solution

The fourth proportional to 398,552.40, 598,168.80 and 162,064.80 is: 243,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,552.40 : 598,168.80 = 162,064.80 : x
  2. Step 2: Convert to fraction form
    398,552.40/598,168.80 = 162,064.80/x
  3. Step 3: Cross multiply
    398,552.40x = 598,168.80 × 162,064.80
  4. Step 4: Simplify right side
    398,552.40x = 96,942,106,938.24
  5. Step 5: Solve for x
    x = 96,942,106,938.24/398,552.40
  6. Step 6: Final answer
    x = 243,235.54

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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.