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Finding the Fourth Proportional to 408,364,649.10, 612,786,122.10 and 149,606,026.20

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Solution

The fourth proportional to 408,364,649.10, 612,786,122.10 and 149,606,026.20 is: 224,496,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,364,649.10 : 612,786,122.10 = 149,606,026.20 : x
  2. Step 2: Convert to fraction form
    408,364,649.10/612,786,122.10 = 149,606,026.20/x
  3. Step 3: Cross multiply
    408,364,649.10x = 612,786,122.10 × 149,606,026.20
  4. Step 4: Simplify right side
    408,364,649.10x = 91,676,496,637,888,992
  5. Step 5: Solve for x
    x = 91,676,496,637,888,992/408,364,649.10
  6. Step 6: Final answer
    x = 224,496,652.29

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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.