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Finding the Fourth Proportional to 342,128.66, 472,118.54 and 189,157.95

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Solution

The fourth proportional to 342,128.66, 472,118.54 and 189,157.95 is: 261,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,128.66 : 472,118.54 = 189,157.95 : x
  2. Step 2: Convert to fraction form
    342,128.66/472,118.54 = 189,157.95/x
  3. Step 3: Cross multiply
    342,128.66x = 472,118.54 × 189,157.95
  4. Step 4: Simplify right side
    342,128.66x = 89,304,974,237.60
  5. Step 5: Solve for x
    x = 89,304,974,237.60/342,128.66
  6. Step 6: Final answer
    x = 261,027.46

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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.