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Finding the Fourth Proportional to 280,592.97, 420,951.64 and 80,897.77

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Solution

The fourth proportional to 280,592.97, 420,951.64 and 80,897.77 is: 121,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,592.97 : 420,951.64 = 80,897.77 : x
  2. Step 2: Convert to fraction form
    280,592.97/420,951.64 = 80,897.77/x
  3. Step 3: Cross multiply
    280,592.97x = 420,951.64 × 80,897.77
  4. Step 4: Simplify right side
    280,592.97x = 34,054,048,953.84
  5. Step 5: Solve for x
    x = 34,054,048,953.84/280,592.97
  6. Step 6: Final answer
    x = 121,364.58

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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.