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Finding the Fourth Proportional to 315,091.76, 434,815.80 and 187,701.20

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Solution

The fourth proportional to 315,091.76, 434,815.80 and 187,701.20 is: 259,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091.76 : 434,815.80 = 187,701.20 : x
  2. Step 2: Convert to fraction form
    315,091.76/434,815.80 = 187,701.20/x
  3. Step 3: Cross multiply
    315,091.76x = 434,815.80 × 187,701.20
  4. Step 4: Simplify right side
    315,091.76x = 81,615,447,438.96
  5. Step 5: Solve for x
    x = 81,615,447,438.96/315,091.76
  6. Step 6: Final answer
    x = 259,021.21

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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.