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Finding the Fourth Proportional to 384,464.70, 577,170.90 and 242,309.70

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Solution

The fourth proportional to 384,464.70, 577,170.90 and 242,309.70 is: 363,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,464.70 : 577,170.90 = 242,309.70 : x
  2. Step 2: Convert to fraction form
    384,464.70/577,170.90 = 242,309.70/x
  3. Step 3: Cross multiply
    384,464.70x = 577,170.90 × 242,309.70
  4. Step 4: Simplify right side
    384,464.70x = 139,854,107,627.73
  5. Step 5: Solve for x
    x = 139,854,107,627.73/384,464.70
  6. Step 6: Final answer
    x = 363,763.19

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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.