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Finding the Fourth Proportional to 398,466.40, 598,039.80 and 161,978.80

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Solution

The fourth proportional to 398,466.40, 598,039.80 and 161,978.80 is: 243,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,466.40 : 598,039.80 = 161,978.80 : x
  2. Step 2: Convert to fraction form
    398,466.40/598,039.80 = 161,978.80/x
  3. Step 3: Cross multiply
    398,466.40x = 598,039.80 × 161,978.80
  4. Step 4: Simplify right side
    398,466.40x = 96,869,769,156.24
  5. Step 5: Solve for x
    x = 96,869,769,156.24/398,466.40
  6. Step 6: Final answer
    x = 243,106.49

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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.