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Finding the Fourth Proportional to 262,116.80, 393,175.20 and 257,742.80

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Solution

The fourth proportional to 262,116.80, 393,175.20 and 257,742.80 is: 386,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,116.80 : 393,175.20 = 257,742.80 : x
  2. Step 2: Convert to fraction form
    262,116.80/393,175.20 = 257,742.80/x
  3. Step 3: Cross multiply
    262,116.80x = 393,175.20 × 257,742.80
  4. Step 4: Simplify right side
    262,116.80x = 101,338,076,938.56
  5. Step 5: Solve for x
    x = 101,338,076,938.56/262,116.80
  6. Step 6: Final answer
    x = 386,614.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.