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Finding the Fourth Proportional to 386,136,003.40, 579,204,005.10 and 386,136,003.40

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Solution

The fourth proportional to 386,136,003.40, 579,204,005.10 and 386,136,003.40 is: 579,204,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,136,003.40 : 579,204,005.10 = 386,136,003.40 : x
  2. Step 2: Convert to fraction form
    386,136,003.40/579,204,005.10 = 386,136,003.40/x
  3. Step 3: Cross multiply
    386,136,003.40x = 579,204,005.10 × 386,136,003.40
  4. Step 4: Simplify right side
    386,136,003.40x = 223,651,519,682,587,200
  5. Step 5: Solve for x
    x = 223,651,519,682,587,200/386,136,003.40
  6. Step 6: Final answer
    x = 579,204,005.10

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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.