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Finding the Fourth Proportional to 190,613,005.20, 285,919,507.80 and 190,613,005.20

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Solution

The fourth proportional to 190,613,005.20, 285,919,507.80 and 190,613,005.20 is: 285,919,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,613,005.20 : 285,919,507.80 = 190,613,005.20 : x
  2. Step 2: Convert to fraction form
    190,613,005.20/285,919,507.80 = 190,613,005.20/x
  3. Step 3: Cross multiply
    190,613,005.20x = 285,919,507.80 × 190,613,005.20
  4. Step 4: Simplify right side
    190,613,005.20x = 54,499,976,627,062,840
  5. Step 5: Solve for x
    x = 54,499,976,627,062,840/190,613,005.20
  6. Step 6: Final answer
    x = 285,919,507.80

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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.