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Finding the Fourth Proportional to 280,002.99, 419,873.13 and 102,385.80

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Solution

The fourth proportional to 280,002.99, 419,873.13 and 102,385.80 is: 153,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,002.99 : 419,873.13 = 102,385.80 : x
  2. Step 2: Convert to fraction form
    280,002.99/419,873.13 = 102,385.80/x
  3. Step 3: Cross multiply
    280,002.99x = 419,873.13 × 102,385.80
  4. Step 4: Simplify right side
    280,002.99x = 42,989,046,313.55
  5. Step 5: Solve for x
    x = 42,989,046,313.55/280,002.99
  6. Step 6: Final answer
    x = 153,530.67

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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.