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Finding the Fourth Proportional to 490,178.95, 735,898.10 and 377,930.47

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Solution

The fourth proportional to 490,178.95, 735,898.10 and 377,930.47 is: 567,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,178.95 : 735,898.10 = 377,930.47 : x
  2. Step 2: Convert to fraction form
    490,178.95/735,898.10 = 377,930.47/x
  3. Step 3: Cross multiply
    490,178.95x = 735,898.10 × 377,930.47
  4. Step 4: Simplify right side
    490,178.95x = 278,118,309,235.96
  5. Step 5: Solve for x
    x = 278,118,309,235.96/490,178.95
  6. Step 6: Final answer
    x = 567,381.18

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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.