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Finding the Fourth Proportional to 383,878.12, 575,901.42 and 117,658.66

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Solution

The fourth proportional to 383,878.12, 575,901.42 and 117,658.66 is: 176,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,878.12 : 575,901.42 = 117,658.66 : x
  2. Step 2: Convert to fraction form
    383,878.12/575,901.42 = 117,658.66/x
  3. Step 3: Cross multiply
    383,878.12x = 575,901.42 × 117,658.66
  4. Step 4: Simplify right side
    383,878.12x = 67,759,789,369.30
  5. Step 5: Solve for x
    x = 67,759,789,369.30/383,878.12
  6. Step 6: Final answer
    x = 176,513.81

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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.