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Finding the Fourth Proportional to 280,367.60, 420,447.51 and 100,424.98

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Solution

The fourth proportional to 280,367.60, 420,447.51 and 100,424.98 is: 150,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,367.60 : 420,447.51 = 100,424.98 : x
  2. Step 2: Convert to fraction form
    280,367.60/420,447.51 = 100,424.98/x
  3. Step 3: Cross multiply
    280,367.60x = 420,447.51 × 100,424.98
  4. Step 4: Simplify right side
    280,367.60x = 42,223,433,308.36
  5. Step 5: Solve for x
    x = 42,223,433,308.36/280,367.60
  6. Step 6: Final answer
    x = 150,600.26

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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.