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Finding the Fourth Proportional to 280,151.85, 419,978.07 and 102,617.30

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Solution

The fourth proportional to 280,151.85, 419,978.07 and 102,617.30 is: 153,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,151.85 : 419,978.07 = 102,617.30 : x
  2. Step 2: Convert to fraction form
    280,151.85/419,978.07 = 102,617.30/x
  3. Step 3: Cross multiply
    280,151.85x = 419,978.07 × 102,617.30
  4. Step 4: Simplify right side
    280,151.85x = 43,097,015,602.61
  5. Step 5: Solve for x
    x = 43,097,015,602.61/280,151.85
  6. Step 6: Final answer
    x = 153,834.49

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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.