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Finding the Fourth Proportional to 278,459.60, 384,274.60 and 151,135.20

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Solution

The fourth proportional to 278,459.60, 384,274.60 and 151,135.20 is: 208,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,459.60 : 384,274.60 = 151,135.20 : x
  2. Step 2: Convert to fraction form
    278,459.60/384,274.60 = 151,135.20/x
  3. Step 3: Cross multiply
    278,459.60x = 384,274.60 × 151,135.20
  4. Step 4: Simplify right side
    278,459.60x = 58,077,418,525.92
  5. Step 5: Solve for x
    x = 58,077,418,525.92/278,459.60
  6. Step 6: Final answer
    x = 208,566.77

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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.