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Finding the Fourth Proportional to 278,073.96, 383,727.30 and 157,208.06

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Solution

The fourth proportional to 278,073.96, 383,727.30 and 157,208.06 is: 216,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,073.96 : 383,727.30 = 157,208.06 : x
  2. Step 2: Convert to fraction form
    278,073.96/383,727.30 = 157,208.06/x
  3. Step 3: Cross multiply
    278,073.96x = 383,727.30 × 157,208.06
  4. Step 4: Simplify right side
    278,073.96x = 60,325,022,483.40
  5. Step 5: Solve for x
    x = 60,325,022,483.40/278,073.96
  6. Step 6: Final answer
    x = 216,938.77

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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.