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Finding the Fourth Proportional to 551,760, 761,429.60 and 313,296

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Solution

The fourth proportional to 551,760, 761,429.60 and 313,296 is: 432,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,760 : 761,429.60 = 313,296 : x
  2. Step 2: Convert to fraction form
    551,760/761,429.60 = 313,296/x
  3. Step 3: Cross multiply
    551,760x = 761,429.60 × 313,296
  4. Step 4: Simplify right side
    551,760x = 238,552,847,961.60
  5. Step 5: Solve for x
    x = 238,552,847,961.60/551,760
  6. Step 6: Final answer
    x = 432,348.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.