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Finding the Fourth Proportional to 475,638.24, 656,386.08 and 271,716

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Solution

The fourth proportional to 475,638.24, 656,386.08 and 271,716 is: 374,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,638.24 : 656,386.08 = 271,716 : x
  2. Step 2: Convert to fraction form
    475,638.24/656,386.08 = 271,716/x
  3. Step 3: Cross multiply
    475,638.24x = 656,386.08 × 271,716
  4. Step 4: Simplify right side
    475,638.24x = 178,350,600,113.28
  5. Step 5: Solve for x
    x = 178,350,600,113.28/475,638.24
  6. Step 6: Final answer
    x = 374,971.11

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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.