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Finding the Fourth Proportional to 294,518, 441,777 and 72,902

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Solution

The fourth proportional to 294,518, 441,777 and 72,902 is: 109,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,518 : 441,777 = 72,902 : x
  2. Step 2: Convert to fraction form
    294,518/441,777 = 72,902/x
  3. Step 3: Cross multiply
    294,518x = 441,777 × 72,902
  4. Step 4: Simplify right side
    294,518x = 32,206,426,854
  5. Step 5: Solve for x
    x = 32,206,426,854/294,518
  6. Step 6: Final answer
    x = 109,353

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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.