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Finding the Fourth Proportional to 315,002.62, 434,713.76 and 177,205.42

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Solution

The fourth proportional to 315,002.62, 434,713.76 and 177,205.42 is: 244,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,002.62 : 434,713.76 = 177,205.42 : x
  2. Step 2: Convert to fraction form
    315,002.62/434,713.76 = 177,205.42/x
  3. Step 3: Cross multiply
    315,002.62x = 434,713.76 × 177,205.42
  4. Step 4: Simplify right side
    315,002.62x = 77,033,634,420.58
  5. Step 5: Solve for x
    x = 77,033,634,420.58/315,002.62
  6. Step 6: Final answer
    x = 244,549.19

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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.