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Finding the Fourth Proportional to 343,514,331.20, 515,271,496.80 and 343,514,331.20

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Solution

The fourth proportional to 343,514,331.20, 515,271,496.80 and 343,514,331.20 is: 515,271,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,514,331.20 : 515,271,496.80 = 343,514,331.20 : x
  2. Step 2: Convert to fraction form
    343,514,331.20/515,271,496.80 = 343,514,331.20/x
  3. Step 3: Cross multiply
    343,514,331.20x = 515,271,496.80 × 343,514,331.20
  4. Step 4: Simplify right side
    343,514,331.20x = 177,003,143,609,674,944
  5. Step 5: Solve for x
    x = 177,003,143,609,674,944/343,514,331.20
  6. Step 6: Final answer
    x = 515,271,496.80

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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.