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Finding the Fourth Proportional to 308,953.48, 463,438.34 and 98,591.20

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Solution

The fourth proportional to 308,953.48, 463,438.34 and 98,591.20 is: 147,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,953.48 : 463,438.34 = 98,591.20 : x
  2. Step 2: Convert to fraction form
    308,953.48/463,438.34 = 98,591.20/x
  3. Step 3: Cross multiply
    308,953.48x = 463,438.34 × 98,591.20
  4. Step 4: Simplify right side
    308,953.48x = 45,690,942,066.61
  5. Step 5: Solve for x
    x = 45,690,942,066.61/308,953.48
  6. Step 6: Final answer
    x = 147,889.39

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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.