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Finding the Fourth Proportional to 285,282.40, 393,592.80 and 164,419.84

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Solution

The fourth proportional to 285,282.40, 393,592.80 and 164,419.84 is: 226,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,282.40 : 393,592.80 = 164,419.84 : x
  2. Step 2: Convert to fraction form
    285,282.40/393,592.80 = 164,419.84/x
  3. Step 3: Cross multiply
    285,282.40x = 393,592.80 × 164,419.84
  4. Step 4: Simplify right side
    285,282.40x = 64,714,465,201.15
  5. Step 5: Solve for x
    x = 64,714,465,201.15/285,282.40
  6. Step 6: Final answer
    x = 226,843.52

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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.