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Finding the Fourth Proportional to 420,780.58, 631,233.16 and 154,520.34

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Solution

The fourth proportional to 420,780.58, 631,233.16 and 154,520.34 is: 231,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,780.58 : 631,233.16 = 154,520.34 : x
  2. Step 2: Convert to fraction form
    420,780.58/631,233.16 = 154,520.34/x
  3. Step 3: Cross multiply
    420,780.58x = 631,233.16 × 154,520.34
  4. Step 4: Simplify right side
    420,780.58x = 97,538,359,749.05
  5. Step 5: Solve for x
    x = 97,538,359,749.05/420,780.58
  6. Step 6: Final answer
    x = 231,803.38

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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.