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Finding the Fourth Proportional to 398,813.60, 598,220.40 and 272,842.40

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Solution

The fourth proportional to 398,813.60, 598,220.40 and 272,842.40 is: 409,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,813.60 : 598,220.40 = 272,842.40 : x
  2. Step 2: Convert to fraction form
    398,813.60/598,220.40 = 272,842.40/x
  3. Step 3: Cross multiply
    398,813.60x = 598,220.40 × 272,842.40
  4. Step 4: Simplify right side
    398,813.60x = 163,219,889,664.96
  5. Step 5: Solve for x
    x = 163,219,889,664.96/398,813.60
  6. Step 6: Final answer
    x = 409,263.60

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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.