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Finding the Fourth Proportional to 294,425.40, 441,638.10 and 72,809.40

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Solution

The fourth proportional to 294,425.40, 441,638.10 and 72,809.40 is: 109,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,425.40 : 441,638.10 = 72,809.40 : x
  2. Step 2: Convert to fraction form
    294,425.40/441,638.10 = 72,809.40/x
  3. Step 3: Cross multiply
    294,425.40x = 441,638.10 × 72,809.40
  4. Step 4: Simplify right side
    294,425.40x = 32,155,405,078.14
  5. Step 5: Solve for x
    x = 32,155,405,078.14/294,425.40
  6. Step 6: Final answer
    x = 109,214.10

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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.