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Finding the Fourth Proportional to 285,297.50, 393,705.74 and 157,970.36

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Solution

The fourth proportional to 285,297.50, 393,705.74 and 157,970.36 is: 217,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,297.50 : 393,705.74 = 157,970.36 : x
  2. Step 2: Convert to fraction form
    285,297.50/393,705.74 = 157,970.36/x
  3. Step 3: Cross multiply
    285,297.50x = 393,705.74 × 157,970.36
  4. Step 4: Simplify right side
    285,297.50x = 62,193,836,199.88
  5. Step 5: Solve for x
    x = 62,193,836,199.88/285,297.50
  6. Step 6: Final answer
    x = 217,996.43

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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.