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Finding the Fourth Proportional to 400,335, 552,469.32 and 219,062.81

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Solution

The fourth proportional to 400,335, 552,469.32 and 219,062.81 is: 302,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,335 : 552,469.32 = 219,062.81 : x
  2. Step 2: Convert to fraction form
    400,335/552,469.32 = 219,062.81/x
  3. Step 3: Cross multiply
    400,335x = 552,469.32 × 219,062.81
  4. Step 4: Simplify right side
    400,335x = 121,025,478,915.64
  5. Step 5: Solve for x
    x = 121,025,478,915.64/400,335
  6. Step 6: Final answer
    x = 302,310.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.