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Finding the Fourth Proportional to 280,152.90, 419,974.20 and 102,617.10

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Solution

The fourth proportional to 280,152.90, 419,974.20 and 102,617.10 is: 153,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152.90 : 419,974.20 = 102,617.10 : x
  2. Step 2: Convert to fraction form
    280,152.90/419,974.20 = 102,617.10/x
  3. Step 3: Cross multiply
    280,152.90x = 419,974.20 × 102,617.10
  4. Step 4: Simplify right side
    280,152.90x = 43,096,534,478.82
  5. Step 5: Solve for x
    x = 43,096,534,478.82/280,152.90
  6. Step 6: Final answer
    x = 153,832.19

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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.