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Finding the Fourth Proportional to 470,918.21, 649,863.91 and 256,058.42

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Solution

The fourth proportional to 470,918.21, 649,863.91 and 256,058.42 is: 353,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,918.21 : 649,863.91 = 256,058.42 : x
  2. Step 2: Convert to fraction form
    470,918.21/649,863.91 = 256,058.42/x
  3. Step 3: Cross multiply
    470,918.21x = 649,863.91 × 256,058.42
  4. Step 4: Simplify right side
    470,918.21x = 166,403,123,080.38
  5. Step 5: Solve for x
    x = 166,403,123,080.38/470,918.21
  6. Step 6: Final answer
    x = 353,358.87

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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.