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Finding the Fourth Proportional to 308,921.47, 463,292.70 and 92,771.48

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Solution

The fourth proportional to 308,921.47, 463,292.70 and 92,771.48 is: 139,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,921.47 : 463,292.70 = 92,771.48 : x
  2. Step 2: Convert to fraction form
    308,921.47/463,292.70 = 92,771.48/x
  3. Step 3: Cross multiply
    308,921.47x = 463,292.70 × 92,771.48
  4. Step 4: Simplify right side
    308,921.47x = 42,980,349,452.20
  5. Step 5: Solve for x
    x = 42,980,349,452.20/308,921.47
  6. Step 6: Final answer
    x = 139,130.34

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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.