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Finding the Fourth Proportional to 280,510.22, 420,769.05 and 93,521.78

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Solution

The fourth proportional to 280,510.22, 420,769.05 and 93,521.78 is: 140,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,510.22 : 420,769.05 = 93,521.78 : x
  2. Step 2: Convert to fraction form
    280,510.22/420,769.05 = 93,521.78/x
  3. Step 3: Cross multiply
    280,510.22x = 420,769.05 × 93,521.78
  4. Step 4: Simplify right side
    280,510.22x = 39,351,070,524.91
  5. Step 5: Solve for x
    x = 39,351,070,524.91/280,510.22
  6. Step 6: Final answer
    x = 140,283.91

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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.