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Finding the Fourth Proportional to 512,822.36, 766,035.61 and 379,962.11

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Solution

The fourth proportional to 512,822.36, 766,035.61 and 379,962.11 is: 567,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,822.36 : 766,035.61 = 379,962.11 : x
  2. Step 2: Convert to fraction form
    512,822.36/766,035.61 = 379,962.11/x
  3. Step 3: Cross multiply
    512,822.36x = 766,035.61 × 379,962.11
  4. Step 4: Simplify right side
    512,822.36x = 291,064,500,980.75
  5. Step 5: Solve for x
    x = 291,064,500,980.75/512,822.36
  6. Step 6: Final answer
    x = 567,573.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.