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Finding the Fourth Proportional to 400,827.60, 601,241.40 and 214,203.60

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Solution

The fourth proportional to 400,827.60, 601,241.40 and 214,203.60 is: 321,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,827.60 : 601,241.40 = 214,203.60 : x
  2. Step 2: Convert to fraction form
    400,827.60/601,241.40 = 214,203.60/x
  3. Step 3: Cross multiply
    400,827.60x = 601,241.40 × 214,203.60
  4. Step 4: Simplify right side
    400,827.60x = 128,788,072,349.04
  5. Step 5: Solve for x
    x = 128,788,072,349.04/400,827.60
  6. Step 6: Final answer
    x = 321,305.40

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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.