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Finding the Fourth Proportional to 285,171.84, 393,495.93 and 157,847.13

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Solution

The fourth proportional to 285,171.84, 393,495.93 and 157,847.13 is: 217,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,171.84 : 393,495.93 = 157,847.13 : x
  2. Step 2: Convert to fraction form
    285,171.84/393,495.93 = 157,847.13/x
  3. Step 3: Cross multiply
    285,171.84x = 393,495.93 × 157,847.13
  4. Step 4: Simplify right side
    285,171.84x = 62,112,203,217.18
  5. Step 5: Solve for x
    x = 62,112,203,217.18/285,171.84
  6. Step 6: Final answer
    x = 217,806.23

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1.5x scale

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.