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Finding the Fourth Proportional to 280,025.16, 420,212.82 and 113,813.16

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Solution

The fourth proportional to 280,025.16, 420,212.82 and 113,813.16 is: 170,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,025.16 : 420,212.82 = 113,813.16 : x
  2. Step 2: Convert to fraction form
    280,025.16/420,212.82 = 113,813.16/x
  3. Step 3: Cross multiply
    280,025.16x = 420,212.82 × 113,813.16
  4. Step 4: Simplify right side
    280,025.16x = 47,825,748,916.71
  5. Step 5: Solve for x
    x = 47,825,748,916.71/280,025.16
  6. Step 6: Final answer
    x = 170,790.90

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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.