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Finding the Fourth Proportional to 280,168.22, 386,624.49 and 152,843.78

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Solution

The fourth proportional to 280,168.22, 386,624.49 and 152,843.78 is: 210,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,168.22 : 386,624.49 = 152,843.78 : x
  2. Step 2: Convert to fraction form
    280,168.22/386,624.49 = 152,843.78/x
  3. Step 3: Cross multiply
    280,168.22x = 386,624.49 × 152,843.78
  4. Step 4: Simplify right side
    280,168.22x = 59,093,148,492.17
  5. Step 5: Solve for x
    x = 59,093,148,492.17/280,168.22
  6. Step 6: Final answer
    x = 210,920.24

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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.