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Finding the Fourth Proportional to 461,915.26, 693,092.19 and 319,978.96

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Solution

The fourth proportional to 461,915.26, 693,092.19 and 319,978.96 is: 480,120.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,915.26 : 693,092.19 = 319,978.96 : x
  2. Step 2: Convert to fraction form
    461,915.26/693,092.19 = 319,978.96/x
  3. Step 3: Cross multiply
    461,915.26x = 693,092.19 × 319,978.96
  4. Step 4: Simplify right side
    461,915.26x = 221,774,917,607.51
  5. Step 5: Solve for x
    x = 221,774,917,607.51/461,915.26
  6. Step 6: Final answer
    x = 480,120.36

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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.