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Finding the Fourth Proportional to 470,978.40, 649,954.82 and 256,123.13

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Solution

The fourth proportional to 470,978.40, 649,954.82 and 256,123.13 is: 353,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,978.40 : 649,954.82 = 256,123.13 : x
  2. Step 2: Convert to fraction form
    470,978.40/649,954.82 = 256,123.13/x
  3. Step 3: Cross multiply
    470,978.40x = 649,954.82 × 256,123.13
  4. Step 4: Simplify right side
    470,978.40x = 166,468,465,122.18
  5. Step 5: Solve for x
    x = 166,468,465,122.18/470,978.40
  6. Step 6: Final answer
    x = 353,452.44

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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.