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Finding the Fourth Proportional to 278,109.16, 383,788.28 and 157,274.16

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Solution

The fourth proportional to 278,109.16, 383,788.28 and 157,274.16 is: 217,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,109.16 : 383,788.28 = 157,274.16 : x
  2. Step 2: Convert to fraction form
    278,109.16/383,788.28 = 157,274.16/x
  3. Step 3: Cross multiply
    278,109.16x = 383,788.28 × 157,274.16
  4. Step 4: Simplify right side
    278,109.16x = 60,359,979,354.84
  5. Step 5: Solve for x
    x = 60,359,979,354.84/278,109.16
  6. Step 6: Final answer
    x = 217,037.01

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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.