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Finding the Fourth Proportional to 278,031.32, 383,682.84 and 150,706.88

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Solution

The fourth proportional to 278,031.32, 383,682.84 and 150,706.88 is: 207,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,031.32 : 383,682.84 = 150,706.88 : x
  2. Step 2: Convert to fraction form
    278,031.32/383,682.84 = 150,706.88/x
  3. Step 3: Cross multiply
    278,031.32x = 383,682.84 × 150,706.88
  4. Step 4: Simplify right side
    278,031.32x = 57,823,643,725.94
  5. Step 5: Solve for x
    x = 57,823,643,725.94/278,031.32
  6. Step 6: Final answer
    x = 207,975.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.