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Finding the Fourth Proportional to 904,300, 1,247,992.32 and 501,892

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Solution

The fourth proportional to 904,300, 1,247,992.32 and 501,892 is: 692,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,300 : 1,247,992.32 = 501,892 : x
  2. Step 2: Convert to fraction form
    904,300/1,247,992.32 = 501,892/x
  3. Step 3: Cross multiply
    904,300x = 1,247,992.32 × 501,892
  4. Step 4: Simplify right side
    904,300x = 626,357,361,469.44
  5. Step 5: Solve for x
    x = 626,357,361,469.44/904,300
  6. Step 6: Final answer
    x = 692,643.33

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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.