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Finding the Fourth Proportional to 285,089.58, 393,418.62 and 164,230.50

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Solution

The fourth proportional to 285,089.58, 393,418.62 and 164,230.50 is: 226,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,089.58 : 393,418.62 = 164,230.50 : x
  2. Step 2: Convert to fraction form
    285,089.58/393,418.62 = 164,230.50/x
  3. Step 3: Cross multiply
    285,089.58x = 393,418.62 × 164,230.50
  4. Step 4: Simplify right side
    285,089.58x = 64,611,336,671.91
  5. Step 5: Solve for x
    x = 64,611,336,671.91/285,089.58
  6. Step 6: Final answer
    x = 226,635.21

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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.