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Finding the Fourth Proportional to 489,348.80, 734,023.20 and 347,631.20

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Solution

The fourth proportional to 489,348.80, 734,023.20 and 347,631.20 is: 521,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,348.80 : 734,023.20 = 347,631.20 : x
  2. Step 2: Convert to fraction form
    489,348.80/734,023.20 = 347,631.20/x
  3. Step 3: Cross multiply
    489,348.80x = 734,023.20 × 347,631.20
  4. Step 4: Simplify right side
    489,348.80x = 255,169,365,843.84
  5. Step 5: Solve for x
    x = 255,169,365,843.84/489,348.80
  6. Step 6: Final answer
    x = 521,446.80

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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.