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Finding the Fourth Proportional to 398,811.60, 598,217.40 and 272,840.40

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Solution

The fourth proportional to 398,811.60, 598,217.40 and 272,840.40 is: 409,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,811.60 : 598,217.40 = 272,840.40 : x
  2. Step 2: Convert to fraction form
    398,811.60/598,217.40 = 272,840.40/x
  3. Step 3: Cross multiply
    398,811.60x = 598,217.40 × 272,840.40
  4. Step 4: Simplify right side
    398,811.60x = 163,217,874,702.96
  5. Step 5: Solve for x
    x = 163,217,874,702.96/398,811.60
  6. Step 6: Final answer
    x = 409,260.60

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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.