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Finding the Fourth Proportional to 278,053.60, 383,714.48 and 150,728.80

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Solution

The fourth proportional to 278,053.60, 383,714.48 and 150,728.80 is: 208,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,053.60 : 383,714.48 = 150,728.80 : x
  2. Step 2: Convert to fraction form
    278,053.60/383,714.48 = 150,728.80/x
  3. Step 3: Cross multiply
    278,053.60x = 383,714.48 × 150,728.80
  4. Step 4: Simplify right side
    278,053.60x = 57,836,823,113.02
  5. Step 5: Solve for x
    x = 57,836,823,113.02/278,053.60
  6. Step 6: Final answer
    x = 208,006.02

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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.