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Finding the Fourth Proportional to 285,314.40, 393,676.20 and 157,966.20

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Solution

The fourth proportional to 285,314.40, 393,676.20 and 157,966.20 is: 217,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,314.40 : 393,676.20 = 157,966.20 : x
  2. Step 2: Convert to fraction form
    285,314.40/393,676.20 = 157,966.20/x
  3. Step 3: Cross multiply
    285,314.40x = 393,676.20 × 157,966.20
  4. Step 4: Simplify right side
    285,314.40x = 62,187,533,344.44
  5. Step 5: Solve for x
    x = 62,187,533,344.44/285,314.40
  6. Step 6: Final answer
    x = 217,961.43

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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.