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Finding the Fourth Proportional to 489,849.40, 733,866.90 and 278,860.60

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Solution

The fourth proportional to 489,849.40, 733,866.90 and 278,860.60 is: 417,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,849.40 : 733,866.90 = 278,860.60 : x
  2. Step 2: Convert to fraction form
    489,849.40/733,866.90 = 278,860.60/x
  3. Step 3: Cross multiply
    489,849.40x = 733,866.90 × 278,860.60
  4. Step 4: Simplify right side
    489,849.40x = 204,646,564,054.14
  5. Step 5: Solve for x
    x = 204,646,564,054.14/489,849.40
  6. Step 6: Final answer
    x = 417,774.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.