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Finding the Fourth Proportional to 297,389.78, 446,527.52 and 120,242.78

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Solution

The fourth proportional to 297,389.78, 446,527.52 and 120,242.78 is: 180,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,389.78 : 446,527.52 = 120,242.78 : x
  2. Step 2: Convert to fraction form
    297,389.78/446,527.52 = 120,242.78/x
  3. Step 3: Cross multiply
    297,389.78x = 446,527.52 × 120,242.78
  4. Step 4: Simplify right side
    297,389.78x = 53,691,709,642.84
  5. Step 5: Solve for x
    x = 53,691,709,642.84/297,389.78
  6. Step 6: Final answer
    x = 180,543.22

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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.