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Finding the Fourth Proportional to 285,157.56, 393,512.67 and 157,830.42

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Solution

The fourth proportional to 285,157.56, 393,512.67 and 157,830.42 is: 217,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,157.56 : 393,512.67 = 157,830.42 : x
  2. Step 2: Convert to fraction form
    285,157.56/393,512.67 = 157,830.42/x
  3. Step 3: Cross multiply
    285,157.56x = 393,512.67 × 157,830.42
  4. Step 4: Simplify right side
    285,157.56x = 62,108,269,981.42
  5. Step 5: Solve for x
    x = 62,108,269,981.42/285,157.56
  6. Step 6: Final answer
    x = 217,803.34

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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.