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Finding the Fourth Proportional to 489,559.25, 735,464.57 and 347,749.31

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Solution

The fourth proportional to 489,559.25, 735,464.57 and 347,749.31 is: 522,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,559.25 : 735,464.57 = 347,749.31 : x
  2. Step 2: Convert to fraction form
    489,559.25/735,464.57 = 347,749.31/x
  3. Step 3: Cross multiply
    489,559.25x = 735,464.57 × 347,749.31
  4. Step 4: Simplify right side
    489,559.25x = 255,757,296,746.95
  5. Step 5: Solve for x
    x = 255,757,296,746.95/489,559.25
  6. Step 6: Final answer
    x = 522,423.58

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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.