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Finding the Fourth Proportional to 280,213.76, 386,691 and 152,886.80

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Solution

The fourth proportional to 280,213.76, 386,691 and 152,886.80 is: 210,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,213.76 : 386,691 = 152,886.80 : x
  2. Step 2: Convert to fraction form
    280,213.76/386,691 = 152,886.80/x
  3. Step 3: Cross multiply
    280,213.76x = 386,691 × 152,886.80
  4. Step 4: Simplify right side
    280,213.76x = 59,119,949,578.80
  5. Step 5: Solve for x
    x = 59,119,949,578.80/280,213.76
  6. Step 6: Final answer
    x = 210,981.61

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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.