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Finding the Fourth Proportional to 285,303.31, 393,713.76 and 157,976.17

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Solution

The fourth proportional to 285,303.31, 393,713.76 and 157,976.17 is: 218,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,303.31 : 393,713.76 = 157,976.17 : x
  2. Step 2: Convert to fraction form
    285,303.31/393,713.76 = 157,976.17/x
  3. Step 3: Cross multiply
    285,303.31x = 393,713.76 × 157,976.17
  4. Step 4: Simplify right side
    285,303.31x = 62,197,390,304.40
  5. Step 5: Solve for x
    x = 62,197,390,304.40/285,303.31
  6. Step 6: Final answer
    x = 218,004.45

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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.