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Finding the Fourth Proportional to 358,906.21, 495,312.64 and 197,761.22

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Solution

The fourth proportional to 358,906.21, 495,312.64 and 197,761.22 is: 272,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,906.21 : 495,312.64 = 197,761.22 : x
  2. Step 2: Convert to fraction form
    358,906.21/495,312.64 = 197,761.22/x
  3. Step 3: Cross multiply
    358,906.21x = 495,312.64 × 197,761.22
  4. Step 4: Simplify right side
    358,906.21x = 97,953,631,473.42
  5. Step 5: Solve for x
    x = 97,953,631,473.42/358,906.21
  6. Step 6: Final answer
    x = 272,922.64

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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.