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Finding the Fourth Proportional to 383,729.60, 575,266.17 and 147,242

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Solution

The fourth proportional to 383,729.60, 575,266.17 and 147,242 is: 220,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,729.60 : 575,266.17 = 147,242 : x
  2. Step 2: Convert to fraction form
    383,729.60/575,266.17 = 147,242/x
  3. Step 3: Cross multiply
    383,729.60x = 575,266.17 × 147,242
  4. Step 4: Simplify right side
    383,729.60x = 84,703,341,403.14
  5. Step 5: Solve for x
    x = 84,703,341,403.14/383,729.60
  6. Step 6: Final answer
    x = 220,737.05

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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.