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Finding the Fourth Proportional to 308,963.20, 463,518.76 and 128,948.52

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Solution

The fourth proportional to 308,963.20, 463,518.76 and 128,948.52 is: 193,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,963.20 : 463,518.76 = 128,948.52 : x
  2. Step 2: Convert to fraction form
    308,963.20/463,518.76 = 128,948.52/x
  3. Step 3: Cross multiply
    308,963.20x = 463,518.76 × 128,948.52
  4. Step 4: Simplify right side
    308,963.20x = 59,770,058,094.24
  5. Step 5: Solve for x
    x = 59,770,058,094.24/308,963.20
  6. Step 6: Final answer
    x = 193,453.65

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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.