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Finding the Fourth Proportional to 285,206.16, 393,584.59 and 157,881.76

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Solution

The fourth proportional to 285,206.16, 393,584.59 and 157,881.76 is: 217,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,206.16 : 393,584.59 = 157,881.76 : x
  2. Step 2: Convert to fraction form
    285,206.16/393,584.59 = 157,881.76/x
  3. Step 3: Cross multiply
    285,206.16x = 393,584.59 × 157,881.76
  4. Step 4: Simplify right side
    285,206.16x = 62,139,826,991.47
  5. Step 5: Solve for x
    x = 62,139,826,991.47/285,206.16
  6. Step 6: Final answer
    x = 217,876.87

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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.