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Finding the Fourth Proportional to 286,383.60, 430,012.80 and 219,898.80

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Solution

The fourth proportional to 286,383.60, 430,012.80 and 219,898.80 is: 330,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,383.60 : 430,012.80 = 219,898.80 : x
  2. Step 2: Convert to fraction form
    286,383.60/430,012.80 = 219,898.80/x
  3. Step 3: Cross multiply
    286,383.60x = 430,012.80 × 219,898.80
  4. Step 4: Simplify right side
    286,383.60x = 94,559,298,704.64
  5. Step 5: Solve for x
    x = 94,559,298,704.64/286,383.60
  6. Step 6: Final answer
    x = 330,184.06

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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.