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Finding the Fourth Proportional to 768,705.83, 1,152,940.48 and 256,380.02

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Solution

The fourth proportional to 768,705.83, 1,152,940.48 and 256,380.02 is: 384,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,705.83 : 1,152,940.48 = 256,380.02 : x
  2. Step 2: Convert to fraction form
    768,705.83/1,152,940.48 = 256,380.02/x
  3. Step 3: Cross multiply
    768,705.83x = 1,152,940.48 × 256,380.02
  4. Step 4: Simplify right side
    768,705.83x = 295,590,903,321.21
  5. Step 5: Solve for x
    x = 295,590,903,321.21/768,705.83
  6. Step 6: Final answer
    x = 384,530.59

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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.