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Finding the Fourth Proportional to 463,877.28, 640,090.89 and 272,820.96

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Solution

The fourth proportional to 463,877.28, 640,090.89 and 272,820.96 is: 376,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,877.28 : 640,090.89 = 272,820.96 : x
  2. Step 2: Convert to fraction form
    463,877.28/640,090.89 = 272,820.96/x
  3. Step 3: Cross multiply
    463,877.28x = 640,090.89 × 272,820.96
  4. Step 4: Simplify right side
    463,877.28x = 174,630,211,097.05
  5. Step 5: Solve for x
    x = 174,630,211,097.05/463,877.28
  6. Step 6: Final answer
    x = 376,457.78

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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.