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Finding the Fourth Proportional to 470,522.88, 649,248.48 and 279,531.36

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Solution

The fourth proportional to 470,522.88, 649,248.48 and 279,531.36 is: 385,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.88 : 649,248.48 = 279,531.36 : x
  2. Step 2: Convert to fraction form
    470,522.88/649,248.48 = 279,531.36/x
  3. Step 3: Cross multiply
    470,522.88x = 649,248.48 × 279,531.36
  4. Step 4: Simplify right side
    470,522.88x = 181,485,310,592.33
  5. Step 5: Solve for x
    x = 181,485,310,592.33/470,522.88
  6. Step 6: Final answer
    x = 385,709.85

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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.