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Finding the Fourth Proportional to 286,311.60, 429,904.80 and 219,826.80

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Solution

The fourth proportional to 286,311.60, 429,904.80 and 219,826.80 is: 330,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,311.60 : 429,904.80 = 219,826.80 : x
  2. Step 2: Convert to fraction form
    286,311.60/429,904.80 = 219,826.80/x
  3. Step 3: Cross multiply
    286,311.60x = 429,904.80 × 219,826.80
  4. Step 4: Simplify right side
    286,311.60x = 94,504,596,488.64
  5. Step 5: Solve for x
    x = 94,504,596,488.64/286,311.60
  6. Step 6: Final answer
    x = 330,076.03

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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.