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Finding the Fourth Proportional to 700,706.50, 966,974.90 and 378,416.56

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Solution

The fourth proportional to 700,706.50, 966,974.90 and 378,416.56 is: 522,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,706.50 : 966,974.90 = 378,416.56 : x
  2. Step 2: Convert to fraction form
    700,706.50/966,974.90 = 378,416.56/x
  3. Step 3: Cross multiply
    700,706.50x = 966,974.90 × 378,416.56
  4. Step 4: Simplify right side
    700,706.50x = 365,919,315,264.34
  5. Step 5: Solve for x
    x = 365,919,315,264.34/700,706.50
  6. Step 6: Final answer
    x = 522,214.81

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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.