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Finding the Fourth Proportional to 313,099.66, 431,792.40 and 264,802.78

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Solution

The fourth proportional to 313,099.66, 431,792.40 and 264,802.78 is: 365,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,099.66 : 431,792.40 = 264,802.78 : x
  2. Step 2: Convert to fraction form
    313,099.66/431,792.40 = 264,802.78/x
  3. Step 3: Cross multiply
    313,099.66x = 431,792.40 × 264,802.78
  4. Step 4: Simplify right side
    313,099.66x = 114,339,827,902.87
  5. Step 5: Solve for x
    x = 114,339,827,902.87/313,099.66
  6. Step 6: Final answer
    x = 365,186.69

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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.