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Finding the Fourth Proportional to 654,065.60, 902,631.01 and 395,989.88

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Solution

The fourth proportional to 654,065.60, 902,631.01 and 395,989.88 is: 546,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,065.60 : 902,631.01 = 395,989.88 : x
  2. Step 2: Convert to fraction form
    654,065.60/902,631.01 = 395,989.88/x
  3. Step 3: Cross multiply
    654,065.60x = 902,631.01 × 395,989.88
  4. Step 4: Simplify right side
    654,065.60x = 357,432,745,334.18
  5. Step 5: Solve for x
    x = 357,432,745,334.18/654,065.60
  6. Step 6: Final answer
    x = 546,478.43

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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.