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Finding the Fourth Proportional to 409,751,325.69, 565,099,471.88 and 290,437,922.31

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Solution

The fourth proportional to 409,751,325.69, 565,099,471.88 and 290,437,922.31 is: 400,551,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,751,325.69 : 565,099,471.88 = 290,437,922.31 : x
  2. Step 2: Convert to fraction form
    409,751,325.69/565,099,471.88 = 290,437,922.31/x
  3. Step 3: Cross multiply
    409,751,325.69x = 565,099,471.88 × 290,437,922.31
  4. Step 4: Simplify right side
    409,751,325.69x = 164,126,316,511,305,472
  5. Step 5: Solve for x
    x = 164,126,316,511,305,472/409,751,325.69
  6. Step 6: Final answer
    x = 400,551,032.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.