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Finding the Fourth Proportional to 342,146.88, 472,148.64 and 189,175.32

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Solution

The fourth proportional to 342,146.88, 472,148.64 and 189,175.32 is: 261,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,146.88 : 472,148.64 = 189,175.32 : x
  2. Step 2: Convert to fraction form
    342,146.88/472,148.64 = 189,175.32/x
  3. Step 3: Cross multiply
    342,146.88x = 472,148.64 × 189,175.32
  4. Step 4: Simplify right side
    342,146.88x = 89,318,870,059.56
  5. Step 5: Solve for x
    x = 89,318,870,059.56/342,146.88
  6. Step 6: Final answer
    x = 261,054.17

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1.5x scale

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.