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Finding the Fourth Proportional to 683,108, 942,677.36 and 377,176.76

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Solution

The fourth proportional to 683,108, 942,677.36 and 377,176.76 is: 520,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,108 : 942,677.36 = 377,176.76 : x
  2. Step 2: Convert to fraction form
    683,108/942,677.36 = 377,176.76/x
  3. Step 3: Cross multiply
    683,108x = 942,677.36 × 377,176.76
  4. Step 4: Simplify right side
    683,108x = 355,555,992,370.15
  5. Step 5: Solve for x
    x = 355,555,992,370.15/683,108
  6. Step 6: Final answer
    x = 520,497.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.