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Finding the Fourth Proportional to 285,128, 393,023.36 and 224,602.88

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Solution

The fourth proportional to 285,128, 393,023.36 and 224,602.88 is: 309,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,128 : 393,023.36 = 224,602.88 : x
  2. Step 2: Convert to fraction form
    285,128/393,023.36 = 224,602.88/x
  3. Step 3: Cross multiply
    285,128x = 393,023.36 × 224,602.88
  4. Step 4: Simplify right side
    285,128x = 88,274,178,563.28
  5. Step 5: Solve for x
    x = 88,274,178,563.28/285,128
  6. Step 6: Final answer
    x = 309,594.91

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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.