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Finding the Fourth Proportional to 308,906.10, 463,402.35 and 131,411.70

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Solution

The fourth proportional to 308,906.10, 463,402.35 and 131,411.70 is: 197,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,906.10 : 463,402.35 = 131,411.70 : x
  2. Step 2: Convert to fraction form
    308,906.10/463,402.35 = 131,411.70/x
  3. Step 3: Cross multiply
    308,906.10x = 463,402.35 × 131,411.70
  4. Step 4: Simplify right side
    308,906.10x = 60,896,490,597.50
  5. Step 5: Solve for x
    x = 60,896,490,597.50/308,906.10
  6. Step 6: Final answer
    x = 197,135.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.