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Finding the Fourth Proportional to 308,843.40, 463,046.40 and 140,444.40

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Solution

The fourth proportional to 308,843.40, 463,046.40 and 140,444.40 is: 210,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,843.40 : 463,046.40 = 140,444.40 : x
  2. Step 2: Convert to fraction form
    308,843.40/463,046.40 = 140,444.40/x
  3. Step 3: Cross multiply
    308,843.40x = 463,046.40 × 140,444.40
  4. Step 4: Simplify right side
    308,843.40x = 65,032,273,820.16
  5. Step 5: Solve for x
    x = 65,032,273,820.16/308,843.40
  6. Step 6: Final answer
    x = 210,567.15

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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.