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Finding the Fourth Proportional to 278,461.66, 384,277.47 and 151,137.27

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Solution

The fourth proportional to 278,461.66, 384,277.47 and 151,137.27 is: 208,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,461.66 : 384,277.47 = 151,137.27 : x
  2. Step 2: Convert to fraction form
    278,461.66/384,277.47 = 151,137.27/x
  3. Step 3: Cross multiply
    278,461.66x = 384,277.47 × 151,137.27
  4. Step 4: Simplify right side
    278,461.66x = 58,078,647,738.31
  5. Step 5: Solve for x
    x = 58,078,647,738.31/278,461.66
  6. Step 6: Final answer
    x = 208,569.64

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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.