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Finding the Fourth Proportional to 490,176.95, 735,895.10 and 377,928.47

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Solution

The fourth proportional to 490,176.95, 735,895.10 and 377,928.47 is: 567,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,176.95 : 735,895.10 = 377,928.47 : x
  2. Step 2: Convert to fraction form
    490,176.95/735,895.10 = 377,928.47/x
  3. Step 3: Cross multiply
    490,176.95x = 735,895.10 × 377,928.47
  4. Step 4: Simplify right side
    490,176.95x = 278,115,703,654.38
  5. Step 5: Solve for x
    x = 278,115,703,654.38/490,176.95
  6. Step 6: Final answer
    x = 567,378.18

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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.