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Finding the Fourth Proportional to 383,053.50, 574,580.25 and 120,397.50

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Solution

The fourth proportional to 383,053.50, 574,580.25 and 120,397.50 is: 180,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,053.50 : 574,580.25 = 120,397.50 : x
  2. Step 2: Convert to fraction form
    383,053.50/574,580.25 = 120,397.50/x
  3. Step 3: Cross multiply
    383,053.50x = 574,580.25 × 120,397.50
  4. Step 4: Simplify right side
    383,053.50x = 69,178,025,649.38
  5. Step 5: Solve for x
    x = 69,178,025,649.38/383,053.50
  6. Step 6: Final answer
    x = 180,596.25

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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.