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Finding the Fourth Proportional to 280,004.99, 419,876.13 and 102,387.80

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Solution

The fourth proportional to 280,004.99, 419,876.13 and 102,387.80 is: 153,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,004.99 : 419,876.13 = 102,387.80 : x
  2. Step 2: Convert to fraction form
    280,004.99/419,876.13 = 102,387.80/x
  3. Step 3: Cross multiply
    280,004.99x = 419,876.13 × 102,387.80
  4. Step 4: Simplify right side
    280,004.99x = 42,990,193,223.21
  5. Step 5: Solve for x
    x = 42,990,193,223.21/280,004.99
  6. Step 6: Final answer
    x = 153,533.67

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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.