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Finding the Fourth Proportional to 407,161.62, 610,784.28 and 140,921.70

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Solution

The fourth proportional to 407,161.62, 610,784.28 and 140,921.70 is: 211,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,161.62 : 610,784.28 = 140,921.70 : x
  2. Step 2: Convert to fraction form
    407,161.62/610,784.28 = 140,921.70/x
  3. Step 3: Cross multiply
    407,161.62x = 610,784.28 × 140,921.70
  4. Step 4: Simplify right side
    407,161.62x = 86,072,759,070.88
  5. Step 5: Solve for x
    x = 86,072,759,070.88/407,161.62
  6. Step 6: Final answer
    x = 211,397.03

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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.