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Finding the Fourth Proportional to 489,021.90, 733,095.45 and 320,622.90

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Solution

The fourth proportional to 489,021.90, 733,095.45 and 320,622.90 is: 480,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,021.90 : 733,095.45 = 320,622.90 : x
  2. Step 2: Convert to fraction form
    489,021.90/733,095.45 = 320,622.90/x
  3. Step 3: Cross multiply
    489,021.90x = 733,095.45 × 320,622.90
  4. Step 4: Simplify right side
    489,021.90x = 235,047,189,155.81
  5. Step 5: Solve for x
    x = 235,047,189,155.81/489,021.90
  6. Step 6: Final answer
    x = 480,647.57

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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.