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Finding the Fourth Proportional to 278,088.48, 383,747.28 and 157,222.56

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Solution

The fourth proportional to 278,088.48, 383,747.28 and 157,222.56 is: 216,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,088.48 : 383,747.28 = 157,222.56 : x
  2. Step 2: Convert to fraction form
    278,088.48/383,747.28 = 157,222.56/x
  3. Step 3: Cross multiply
    278,088.48x = 383,747.28 × 157,222.56
  4. Step 4: Simplify right side
    278,088.48x = 60,333,729,754.64
  5. Step 5: Solve for x
    x = 60,333,729,754.64/278,088.48
  6. Step 6: Final answer
    x = 216,958.75

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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.