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Finding the Fourth Proportional to 400,867.60, 598,164.50 and 398,534.80

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Solution

The fourth proportional to 400,867.60, 598,164.50 and 398,534.80 is: 594,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,867.60 : 598,164.50 = 398,534.80 : x
  2. Step 2: Convert to fraction form
    400,867.60/598,164.50 = 398,534.80/x
  3. Step 3: Cross multiply
    400,867.60x = 598,164.50 × 398,534.80
  4. Step 4: Simplify right side
    400,867.60x = 238,389,369,374.60
  5. Step 5: Solve for x
    x = 238,389,369,374.60/400,867.60
  6. Step 6: Final answer
    x = 594,683.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.