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Finding the Fourth Proportional to 551,916, 761,644.80 and 313,452

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Solution

The fourth proportional to 551,916, 761,644.80 and 313,452 is: 432,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,916 : 761,644.80 = 313,452 : x
  2. Step 2: Convert to fraction form
    551,916/761,644.80 = 313,452/x
  3. Step 3: Cross multiply
    551,916x = 761,644.80 × 313,452
  4. Step 4: Simplify right side
    551,916x = 238,739,085,849.60
  5. Step 5: Solve for x
    x = 238,739,085,849.60/551,916
  6. Step 6: Final answer
    x = 432,564.17

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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.