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Finding the Fourth Proportional to 285,277.76, 393,695.61 and 157,953.37

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Solution

The fourth proportional to 285,277.76, 393,695.61 and 157,953.37 is: 217,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277.76 : 393,695.61 = 157,953.37 : x
  2. Step 2: Convert to fraction form
    285,277.76/393,695.61 = 157,953.37/x
  3. Step 3: Cross multiply
    285,277.76x = 393,695.61 × 157,953.37
  4. Step 4: Simplify right side
    285,277.76x = 62,185,548,353.71
  5. Step 5: Solve for x
    x = 62,185,548,353.71/285,277.76
  6. Step 6: Final answer
    x = 217,982.46

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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.