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Finding the Fourth Proportional to 270,784,996.62, 406,157,628.16 and 86,502,993.01

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Solution

The fourth proportional to 270,784,996.62, 406,157,628.16 and 86,502,993.01 is: 129,748,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,784,996.62 : 406,157,628.16 = 86,502,993.01 : x
  2. Step 2: Convert to fraction form
    270,784,996.62/406,157,628.16 = 86,502,993.01/x
  3. Step 3: Cross multiply
    270,784,996.62x = 406,157,628.16 × 86,502,993.01
  4. Step 4: Simplify right side
    270,784,996.62x = 35,133,850,469,682,664
  5. Step 5: Solve for x
    x = 35,133,850,469,682,664/270,784,996.62
  6. Step 6: Final answer
    x = 129,748,143.02

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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.