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Finding the Fourth Proportional to 285,303.25, 393,713.67 and 157,976.11

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Solution

The fourth proportional to 285,303.25, 393,713.67 and 157,976.11 is: 218,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,303.25 : 393,713.67 = 157,976.11 : x
  2. Step 2: Convert to fraction form
    285,303.25/393,713.67 = 157,976.11/x
  3. Step 3: Cross multiply
    285,303.25x = 393,713.67 × 157,976.11
  4. Step 4: Simplify right side
    285,303.25x = 62,197,354,040.42
  5. Step 5: Solve for x
    x = 62,197,354,040.42/285,303.25
  6. Step 6: Final answer
    x = 218,004.37

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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.