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Finding the Fourth Proportional to 315,091.44, 434,971.80 and 194,254.32

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Solution

The fourth proportional to 315,091.44, 434,971.80 and 194,254.32 is: 268,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091.44 : 434,971.80 = 194,254.32 : x
  2. Step 2: Convert to fraction form
    315,091.44/434,971.80 = 194,254.32/x
  3. Step 3: Cross multiply
    315,091.44x = 434,971.80 × 194,254.32
  4. Step 4: Simplify right side
    315,091.44x = 84,495,151,228.18
  5. Step 5: Solve for x
    x = 84,495,151,228.18/315,091.44
  6. Step 6: Final answer
    x = 268,160.73

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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.