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Finding the Fourth Proportional to 285,602.08, 394,124.16 and 164,743.60

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Solution

The fourth proportional to 285,602.08, 394,124.16 and 164,743.60 is: 227,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,602.08 : 394,124.16 = 164,743.60 : x
  2. Step 2: Convert to fraction form
    285,602.08/394,124.16 = 164,743.60/x
  3. Step 3: Cross multiply
    285,602.08x = 394,124.16 × 164,743.60
  4. Step 4: Simplify right side
    285,602.08x = 64,929,432,965.38
  5. Step 5: Solve for x
    x = 64,929,432,965.38/285,602.08
  6. Step 6: Final answer
    x = 227,342.30

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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.