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Finding the Fourth Proportional to 286,564.60, 429,846.90 and 220,132.60

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Solution

The fourth proportional to 286,564.60, 429,846.90 and 220,132.60 is: 330,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,564.60 : 429,846.90 = 220,132.60 : x
  2. Step 2: Convert to fraction form
    286,564.60/429,846.90 = 220,132.60/x
  3. Step 3: Cross multiply
    286,564.60x = 429,846.90 × 220,132.60
  4. Step 4: Simplify right side
    286,564.60x = 94,623,315,698.94
  5. Step 5: Solve for x
    x = 94,623,315,698.94/286,564.60
  6. Step 6: Final answer
    x = 330,198.90

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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.