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Finding the Fourth Proportional to 611,193,832.80, 916,790,749.20 and 440,282,407.20

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Solution

The fourth proportional to 611,193,832.80, 916,790,749.20 and 440,282,407.20 is: 660,423,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,193,832.80 : 916,790,749.20 = 440,282,407.20 : x
  2. Step 2: Convert to fraction form
    611,193,832.80/916,790,749.20 = 440,282,407.20/x
  3. Step 3: Cross multiply
    611,193,832.80x = 916,790,749.20 × 440,282,407.20
  4. Step 4: Simplify right side
    611,193,832.80x = 403,646,837,956,467,456
  5. Step 5: Solve for x
    x = 403,646,837,956,467,456/611,193,832.80
  6. Step 6: Final answer
    x = 660,423,610.80

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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.