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Finding the Fourth Proportional to 489,771.90, 733,750.65 and 278,783.10

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Solution

The fourth proportional to 489,771.90, 733,750.65 and 278,783.10 is: 417,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,771.90 : 733,750.65 = 278,783.10 : x
  2. Step 2: Convert to fraction form
    489,771.90/733,750.65 = 278,783.10/x
  3. Step 3: Cross multiply
    489,771.90x = 733,750.65 × 278,783.10
  4. Step 4: Simplify right side
    489,771.90x = 204,557,280,834.02
  5. Step 5: Solve for x
    x = 204,557,280,834.02/489,771.90
  6. Step 6: Final answer
    x = 417,658.26

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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.