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Finding the Fourth Proportional to 278,806.32, 384,754.32 and 151,482.96

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Solution

The fourth proportional to 278,806.32, 384,754.32 and 151,482.96 is: 209,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,806.32 : 384,754.32 = 151,482.96 : x
  2. Step 2: Convert to fraction form
    278,806.32/384,754.32 = 151,482.96/x
  3. Step 3: Cross multiply
    278,806.32x = 384,754.32 × 151,482.96
  4. Step 4: Simplify right side
    278,806.32x = 58,283,723,266.39
  5. Step 5: Solve for x
    x = 58,283,723,266.39/278,806.32
  6. Step 6: Final answer
    x = 209,047.35

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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.