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Finding the Fourth Proportional to 489,092.92, 674,699.82 and 319,426.36

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Solution

The fourth proportional to 489,092.92, 674,699.82 and 319,426.36 is: 440,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,092.92 : 674,699.82 = 319,426.36 : x
  2. Step 2: Convert to fraction form
    489,092.92/674,699.82 = 319,426.36/x
  3. Step 3: Cross multiply
    489,092.92x = 674,699.82 × 319,426.36
  4. Step 4: Simplify right side
    489,092.92x = 215,516,907,595.26
  5. Step 5: Solve for x
    x = 215,516,907,595.26/489,092.92
  6. Step 6: Final answer
    x = 440,646.14

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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.