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Finding the Fourth Proportional to 576,804.85, 864,638.64 and 202,565.41

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Solution

The fourth proportional to 576,804.85, 864,638.64 and 202,565.41 is: 303,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,804.85 : 864,638.64 = 202,565.41 : x
  2. Step 2: Convert to fraction form
    576,804.85/864,638.64 = 202,565.41/x
  3. Step 3: Cross multiply
    576,804.85x = 864,638.64 × 202,565.41
  4. Step 4: Simplify right side
    576,804.85x = 175,145,878,451.85
  5. Step 5: Solve for x
    x = 175,145,878,451.85/576,804.85
  6. Step 6: Final answer
    x = 303,648.42

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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.