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Finding the Fourth Proportional to 280,646.88, 420,984.90 and 140,358.12

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Solution

The fourth proportional to 280,646.88, 420,984.90 and 140,358.12 is: 210,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,646.88 : 420,984.90 = 140,358.12 : x
  2. Step 2: Convert to fraction form
    280,646.88/420,984.90 = 140,358.12/x
  3. Step 3: Cross multiply
    280,646.88x = 420,984.90 × 140,358.12
  4. Step 4: Simplify right side
    280,646.88x = 59,088,649,112.39
  5. Step 5: Solve for x
    x = 59,088,649,112.39/280,646.88
  6. Step 6: Final answer
    x = 210,544.47

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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.