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Finding the Fourth Proportional to 285,297.12, 393,705.22 and 157,969.98

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Solution

The fourth proportional to 285,297.12, 393,705.22 and 157,969.98 is: 217,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,297.12 : 393,705.22 = 157,969.98 : x
  2. Step 2: Convert to fraction form
    285,297.12/393,705.22 = 157,969.98/x
  3. Step 3: Cross multiply
    285,297.12x = 393,705.22 × 157,969.98
  4. Step 4: Simplify right side
    285,297.12x = 62,193,606,810.77
  5. Step 5: Solve for x
    x = 62,193,606,810.77/285,297.12
  6. Step 6: Final answer
    x = 217,995.91

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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.