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Finding the Fourth Proportional to 306,310.16, 459,404.68 and 291,120.03

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Solution

The fourth proportional to 306,310.16, 459,404.68 and 291,120.03 is: 436,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,310.16 : 459,404.68 = 291,120.03 : x
  2. Step 2: Convert to fraction form
    306,310.16/459,404.68 = 291,120.03/x
  3. Step 3: Cross multiply
    306,310.16x = 459,404.68 × 291,120.03
  4. Step 4: Simplify right side
    306,310.16x = 133,741,904,223.74
  5. Step 5: Solve for x
    x = 133,741,904,223.74/306,310.16
  6. Step 6: Final answer
    x = 436,622.49

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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.