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Finding the Fourth Proportional to 285,374.84, 428,066.45 and 135,630.41

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Solution

The fourth proportional to 285,374.84, 428,066.45 and 135,630.41 is: 203,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,374.84 : 428,066.45 = 135,630.41 : x
  2. Step 2: Convert to fraction form
    285,374.84/428,066.45 = 135,630.41/x
  3. Step 3: Cross multiply
    285,374.84x = 428,066.45 × 135,630.41
  4. Step 4: Simplify right side
    285,374.84x = 58,058,825,302.26
  5. Step 5: Solve for x
    x = 58,058,825,302.26/285,374.84
  6. Step 6: Final answer
    x = 203,447.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.