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Finding the Fourth Proportional to 280,477.20, 419,730.66 and 241,505.04

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Solution

The fourth proportional to 280,477.20, 419,730.66 and 241,505.04 is: 361,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,477.20 : 419,730.66 = 241,505.04 : x
  2. Step 2: Convert to fraction form
    280,477.20/419,730.66 = 241,505.04/x
  3. Step 3: Cross multiply
    280,477.20x = 419,730.66 × 241,505.04
  4. Step 4: Simplify right side
    280,477.20x = 101,367,069,832.53
  5. Step 5: Solve for x
    x = 101,367,069,832.53/280,477.20
  6. Step 6: Final answer
    x = 361,409.30

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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.