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Finding the Fourth Proportional to 468,090.16, 645,961.76 and 253,229.60

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Solution

The fourth proportional to 468,090.16, 645,961.76 and 253,229.60 is: 349,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,090.16 : 645,961.76 = 253,229.60 : x
  2. Step 2: Convert to fraction form
    468,090.16/645,961.76 = 253,229.60/x
  3. Step 3: Cross multiply
    468,090.16x = 645,961.76 × 253,229.60
  4. Step 4: Simplify right side
    468,090.16x = 163,576,638,100.10
  5. Step 5: Solve for x
    x = 163,576,638,100.10/468,090.16
  6. Step 6: Final answer
    x = 349,455.41

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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.