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Finding the Fourth Proportional to 294,378.60, 441,114.30 and 219,145.80

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Solution

The fourth proportional to 294,378.60, 441,114.30 and 219,145.80 is: 328,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,378.60 : 441,114.30 = 219,145.80 : x
  2. Step 2: Convert to fraction form
    294,378.60/441,114.30 = 219,145.80/x
  3. Step 3: Cross multiply
    294,378.60x = 441,114.30 × 219,145.80
  4. Step 4: Simplify right side
    294,378.60x = 96,668,346,164.94
  5. Step 5: Solve for x
    x = 96,668,346,164.94/294,378.60
  6. Step 6: Final answer
    x = 328,381.02

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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.