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Finding the Fourth Proportional to 354,213.79, 488,731.04 and 201,255.01

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Solution

The fourth proportional to 354,213.79, 488,731.04 and 201,255.01 is: 277,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,213.79 : 488,731.04 = 201,255.01 : x
  2. Step 2: Convert to fraction form
    354,213.79/488,731.04 = 201,255.01/x
  3. Step 3: Cross multiply
    354,213.79x = 488,731.04 × 201,255.01
  4. Step 4: Simplify right side
    354,213.79x = 98,359,570,342.51
  5. Step 5: Solve for x
    x = 98,359,570,342.51/354,213.79
  6. Step 6: Final answer
    x = 277,684.19

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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.