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Finding the Fourth Proportional to 315,376.36, 472,653.82 and 128,169

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Solution

The fourth proportional to 315,376.36, 472,653.82 and 128,169 is: 192,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,376.36 : 472,653.82 = 128,169 : x
  2. Step 2: Convert to fraction form
    315,376.36/472,653.82 = 128,169/x
  3. Step 3: Cross multiply
    315,376.36x = 472,653.82 × 128,169
  4. Step 4: Simplify right side
    315,376.36x = 60,579,567,455.58
  5. Step 5: Solve for x
    x = 60,579,567,455.58/315,376.36
  6. Step 6: Final answer
    x = 192,086.58

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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.