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Finding the Fourth Proportional to 671,978.10, 1,007,617.22 and 316,896.78

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Solution

The fourth proportional to 671,978.10, 1,007,617.22 and 316,896.78 is: 475,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,978.10 : 1,007,617.22 = 316,896.78 : x
  2. Step 2: Convert to fraction form
    671,978.10/1,007,617.22 = 316,896.78/x
  3. Step 3: Cross multiply
    671,978.10x = 1,007,617.22 × 316,896.78
  4. Step 4: Simplify right side
    671,978.10x = 319,310,652,490.55
  5. Step 5: Solve for x
    x = 319,310,652,490.55/671,978.10
  6. Step 6: Final answer
    x = 475,180.15

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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.