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Finding the Fourth Proportional to 342,429.58, 472,566.75 and 189,465.28

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Solution

The fourth proportional to 342,429.58, 472,566.75 and 189,465.28 is: 261,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,429.58 : 472,566.75 = 189,465.28 : x
  2. Step 2: Convert to fraction form
    342,429.58/472,566.75 = 189,465.28/x
  3. Step 3: Cross multiply
    342,429.58x = 472,566.75 × 189,465.28
  4. Step 4: Simplify right side
    342,429.58x = 89,534,993,439.46
  5. Step 5: Solve for x
    x = 89,534,993,439.46/342,429.58
  6. Step 6: Final answer
    x = 261,469.80

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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.