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Finding the Fourth Proportional to 254,784.24, 382,230.40 and 86,296.40

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Solution

The fourth proportional to 254,784.24, 382,230.40 and 86,296.40 is: 129,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,784.24 : 382,230.40 = 86,296.40 : x
  2. Step 2: Convert to fraction form
    254,784.24/382,230.40 = 86,296.40/x
  3. Step 3: Cross multiply
    254,784.24x = 382,230.40 × 86,296.40
  4. Step 4: Simplify right side
    254,784.24x = 32,985,107,490.56
  5. Step 5: Solve for x
    x = 32,985,107,490.56/254,784.24
  6. Step 6: Final answer
    x = 129,462.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.