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Finding the Fourth Proportional to 278,806.16, 384,756 and 151,483.88

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Solution

The fourth proportional to 278,806.16, 384,756 and 151,483.88 is: 209,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,806.16 : 384,756 = 151,483.88 : x
  2. Step 2: Convert to fraction form
    278,806.16/384,756 = 151,483.88/x
  3. Step 3: Cross multiply
    278,806.16x = 384,756 × 151,483.88
  4. Step 4: Simplify right side
    278,806.16x = 58,284,331,733.28
  5. Step 5: Solve for x
    x = 58,284,331,733.28/278,806.16
  6. Step 6: Final answer
    x = 209,049.66

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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.