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Finding the Fourth Proportional to 678,780, 936,716.40 and 377,002.08

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Solution

The fourth proportional to 678,780, 936,716.40 and 377,002.08 is: 520,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,780 : 936,716.40 = 377,002.08 : x
  2. Step 2: Convert to fraction form
    678,780/936,716.40 = 377,002.08/x
  3. Step 3: Cross multiply
    678,780x = 936,716.40 × 377,002.08
  4. Step 4: Simplify right side
    678,780x = 353,144,031,170.11
  5. Step 5: Solve for x
    x = 353,144,031,170.11/678,780
  6. Step 6: Final answer
    x = 520,262.87

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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.