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Finding the Fourth Proportional to 286,446.24, 429,931.80 and 285,374.61

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Solution

The fourth proportional to 286,446.24, 429,931.80 and 285,374.61 is: 428,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,446.24 : 429,931.80 = 285,374.61 : x
  2. Step 2: Convert to fraction form
    286,446.24/429,931.80 = 285,374.61/x
  3. Step 3: Cross multiply
    286,446.24x = 429,931.80 × 285,374.61
  4. Step 4: Simplify right side
    286,446.24x = 122,691,619,751.60
  5. Step 5: Solve for x
    x = 122,691,619,751.60/286,446.24
  6. Step 6: Final answer
    x = 428,323.37

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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.