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Finding the Fourth Proportional to 470,529.88, 649,258.14 and 279,538.36

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Solution

The fourth proportional to 470,529.88, 649,258.14 and 279,538.36 is: 385,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,529.88 : 649,258.14 = 279,538.36 : x
  2. Step 2: Convert to fraction form
    470,529.88/649,258.14 = 279,538.36/x
  3. Step 3: Cross multiply
    470,529.88x = 649,258.14 × 279,538.36
  4. Step 4: Simplify right side
    470,529.88x = 181,492,555,672.25
  5. Step 5: Solve for x
    x = 181,492,555,672.25/470,529.88
  6. Step 6: Final answer
    x = 385,719.51

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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.