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Finding the Fourth Proportional to 280,370.86, 420,562.20 and 100,468.01

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Solution

The fourth proportional to 280,370.86, 420,562.20 and 100,468.01 is: 150,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,370.86 : 420,562.20 = 100,468.01 : x
  2. Step 2: Convert to fraction form
    280,370.86/420,562.20 = 100,468.01/x
  3. Step 3: Cross multiply
    280,370.86x = 420,562.20 × 100,468.01
  4. Step 4: Simplify right side
    280,370.86x = 42,253,047,315.22
  5. Step 5: Solve for x
    x = 42,253,047,315.22/280,370.86
  6. Step 6: Final answer
    x = 150,704.13

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1.5x scale

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.