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Finding the Fourth Proportional to 430,857.09, 646,580.88 and 150,374.34

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Solution

The fourth proportional to 430,857.09, 646,580.88 and 150,374.34 is: 225,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,857.09 : 646,580.88 = 150,374.34 : x
  2. Step 2: Convert to fraction form
    430,857.09/646,580.88 = 150,374.34/x
  3. Step 3: Cross multiply
    430,857.09x = 646,580.88 × 150,374.34
  4. Step 4: Simplify right side
    430,857.09x = 97,229,173,086.62
  5. Step 5: Solve for x
    x = 97,229,173,086.62/430,857.09
  6. Step 6: Final answer
    x = 225,664.55

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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.