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Finding the Fourth Proportional to 433,648.28, 650,326.50 and 145,401.56

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Solution

The fourth proportional to 433,648.28, 650,326.50 and 145,401.56 is: 218,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,648.28 : 650,326.50 = 145,401.56 : x
  2. Step 2: Convert to fraction form
    433,648.28/650,326.50 = 145,401.56/x
  3. Step 3: Cross multiply
    433,648.28x = 650,326.50 × 145,401.56
  4. Step 4: Simplify right side
    433,648.28x = 94,558,487,609.34
  5. Step 5: Solve for x
    x = 94,558,487,609.34/433,648.28
  6. Step 6: Final answer
    x = 218,053.41

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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.