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Finding the Fourth Proportional to 280,565.10, 420,847.65 and 140,273.10

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Solution

The fourth proportional to 280,565.10, 420,847.65 and 140,273.10 is: 210,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,565.10 : 420,847.65 = 140,273.10 : x
  2. Step 2: Convert to fraction form
    280,565.10/420,847.65 = 140,273.10/x
  3. Step 3: Cross multiply
    280,565.10x = 420,847.65 × 140,273.10
  4. Step 4: Simplify right side
    280,565.10x = 59,033,604,493.22
  5. Step 5: Solve for x
    x = 59,033,604,493.22/280,565.10
  6. Step 6: Final answer
    x = 210,409.65

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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.