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Finding the Fourth Proportional to 285,089.60, 393,418.61 and 164,230.50

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Solution

The fourth proportional to 285,089.60, 393,418.61 and 164,230.50 is: 226,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,089.60 : 393,418.61 = 164,230.50 : x
  2. Step 2: Convert to fraction form
    285,089.60/393,418.61 = 164,230.50/x
  3. Step 3: Cross multiply
    285,089.60x = 393,418.61 × 164,230.50
  4. Step 4: Simplify right side
    285,089.60x = 64,611,334,208.45
  5. Step 5: Solve for x
    x = 64,611,334,208.45/285,089.60
  6. Step 6: Final answer
    x = 226,635.19

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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.