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Finding the Fourth Proportional to 470,471.21, 649,107.24 and 266,489.72

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Solution

The fourth proportional to 470,471.21, 649,107.24 and 266,489.72 is: 367,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,471.21 : 649,107.24 = 266,489.72 : x
  2. Step 2: Convert to fraction form
    470,471.21/649,107.24 = 266,489.72/x
  3. Step 3: Cross multiply
    470,471.21x = 649,107.24 × 266,489.72
  4. Step 4: Simplify right side
    470,471.21x = 172,980,406,637.57
  5. Step 5: Solve for x
    x = 172,980,406,637.57/470,471.21
  6. Step 6: Final answer
    x = 367,674.80

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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.