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Finding the Fourth Proportional to 285,229.92, 393,620.40 and 157,907.64

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Solution

The fourth proportional to 285,229.92, 393,620.40 and 157,907.64 is: 217,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,229.92 : 393,620.40 = 157,907.64 : x
  2. Step 2: Convert to fraction form
    285,229.92/393,620.40 = 157,907.64/x
  3. Step 3: Cross multiply
    285,229.92x = 393,620.40 × 157,907.64
  4. Step 4: Simplify right side
    285,229.92x = 62,155,668,419.86
  5. Step 5: Solve for x
    x = 62,155,668,419.86/285,229.92
  6. Step 6: Final answer
    x = 217,914.27

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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.