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Finding the Fourth Proportional to 315,051.48, 434,781.60 and 171,819.36

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Solution

The fourth proportional to 315,051.48, 434,781.60 and 171,819.36 is: 237,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,051.48 : 434,781.60 = 171,819.36 : x
  2. Step 2: Convert to fraction form
    315,051.48/434,781.60 = 171,819.36/x
  3. Step 3: Cross multiply
    315,051.48x = 434,781.60 × 171,819.36
  4. Step 4: Simplify right side
    315,051.48x = 74,703,896,251.78
  5. Step 5: Solve for x
    x = 74,703,896,251.78/315,051.48
  6. Step 6: Final answer
    x = 237,116.47

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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.