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Finding the Fourth Proportional to 352,205.76, 486,032.96 and 197,157

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Solution

The fourth proportional to 352,205.76, 486,032.96 and 197,157 is: 272,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,205.76 : 486,032.96 = 197,157 : x
  2. Step 2: Convert to fraction form
    352,205.76/486,032.96 = 197,157/x
  3. Step 3: Cross multiply
    352,205.76x = 486,032.96 × 197,157
  4. Step 4: Simplify right side
    352,205.76x = 95,824,800,294.72
  5. Step 5: Solve for x
    x = 95,824,800,294.72/352,205.76
  6. Step 6: Final answer
    x = 272,070.51

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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.