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Finding the Fourth Proportional to 768,054.20, 1,152,081.30 and 347,343.80

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Solution

The fourth proportional to 768,054.20, 1,152,081.30 and 347,343.80 is: 521,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,054.20 : 1,152,081.30 = 347,343.80 : x
  2. Step 2: Convert to fraction form
    768,054.20/1,152,081.30 = 347,343.80/x
  3. Step 3: Cross multiply
    768,054.20x = 1,152,081.30 × 347,343.80
  4. Step 4: Simplify right side
    768,054.20x = 400,168,296,650.94
  5. Step 5: Solve for x
    x = 400,168,296,650.94/768,054.20
  6. Step 6: Final answer
    x = 521,015.70

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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.