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Finding the Fourth Proportional to 501,693.86, 692,338 and 286,838.44

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Solution

The fourth proportional to 501,693.86, 692,338 and 286,838.44 is: 395,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,693.86 : 692,338 = 286,838.44 : x
  2. Step 2: Convert to fraction form
    501,693.86/692,338 = 286,838.44/x
  3. Step 3: Cross multiply
    501,693.86x = 692,338 × 286,838.44
  4. Step 4: Simplify right side
    501,693.86x = 198,589,151,872.72
  5. Step 5: Solve for x
    x = 198,589,151,872.72/501,693.86
  6. Step 6: Final answer
    x = 395,837.32

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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.