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Finding the Fourth Proportional to 436,524.64, 654,655.36 and 286,758.88

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Solution

The fourth proportional to 436,524.64, 654,655.36 and 286,758.88 is: 430,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,524.64 : 654,655.36 = 286,758.88 : x
  2. Step 2: Convert to fraction form
    436,524.64/654,655.36 = 286,758.88/x
  3. Step 3: Cross multiply
    436,524.64x = 654,655.36 × 286,758.88
  4. Step 4: Simplify right side
    436,524.64x = 187,728,237,819.60
  5. Step 5: Solve for x
    x = 187,728,237,819.60/436,524.64
  6. Step 6: Final answer
    x = 430,051.87

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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.