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Finding the Fourth Proportional to 470,356.53, 649,361.33 and 309,678.63

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Solution

The fourth proportional to 470,356.53, 649,361.33 and 309,678.63 is: 427,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,356.53 : 649,361.33 = 309,678.63 : x
  2. Step 2: Convert to fraction form
    470,356.53/649,361.33 = 309,678.63/x
  3. Step 3: Cross multiply
    470,356.53x = 649,361.33 × 309,678.63
  4. Step 4: Simplify right side
    470,356.53x = 201,093,327,049.38
  5. Step 5: Solve for x
    x = 201,093,327,049.38/470,356.53
  6. Step 6: Final answer
    x = 427,533.83

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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.