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Finding the Fourth Proportional to 486,416.16, 729,626.40 and 149,454

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Solution

The fourth proportional to 486,416.16, 729,626.40 and 149,454 is: 224,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,416.16 : 729,626.40 = 149,454 : x
  2. Step 2: Convert to fraction form
    486,416.16/729,626.40 = 149,454/x
  3. Step 3: Cross multiply
    486,416.16x = 729,626.40 × 149,454
  4. Step 4: Simplify right side
    486,416.16x = 109,045,583,985.60
  5. Step 5: Solve for x
    x = 109,045,583,985.60/486,416.16
  6. Step 6: Final answer
    x = 224,181.66

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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.