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Finding the Fourth Proportional to 280,594.34, 420,953.71 and 80,899.15

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Solution

The fourth proportional to 280,594.34, 420,953.71 and 80,899.15 is: 121,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,594.34 : 420,953.71 = 80,899.15 : x
  2. Step 2: Convert to fraction form
    280,594.34/420,953.71 = 80,899.15/x
  3. Step 3: Cross multiply
    280,594.34x = 420,953.71 × 80,899.15
  4. Step 4: Simplify right side
    280,594.34x = 34,054,796,073.71
  5. Step 5: Solve for x
    x = 34,054,796,073.71/280,594.34
  6. Step 6: Final answer
    x = 121,366.65

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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.