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Finding the Fourth Proportional to 318,297.53, 477,446.42 and 78,416.10

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Solution

The fourth proportional to 318,297.53, 477,446.42 and 78,416.10 is: 117,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,297.53 : 477,446.42 = 78,416.10 : x
  2. Step 2: Convert to fraction form
    318,297.53/477,446.42 = 78,416.10/x
  3. Step 3: Cross multiply
    318,297.53x = 477,446.42 × 78,416.10
  4. Step 4: Simplify right side
    318,297.53x = 37,439,486,411.40
  5. Step 5: Solve for x
    x = 37,439,486,411.40/318,297.53
  6. Step 6: Final answer
    x = 117,624.18

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1.5x scale

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.