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Finding the Fourth Proportional to 278,461.40, 384,277.12 and 151,137.01

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Solution

The fourth proportional to 278,461.40, 384,277.12 and 151,137.01 is: 208,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,461.40 : 384,277.12 = 151,137.01 : x
  2. Step 2: Convert to fraction form
    278,461.40/384,277.12 = 151,137.01/x
  3. Step 3: Cross multiply
    278,461.40x = 384,277.12 × 151,137.01
  4. Step 4: Simplify right side
    278,461.40x = 58,078,493,589.68
  5. Step 5: Solve for x
    x = 58,078,493,589.68/278,461.40
  6. Step 6: Final answer
    x = 208,569.28

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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.