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Finding the Fourth Proportional to 786,144, 1,085,053.92 and 499,608

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Solution

The fourth proportional to 786,144, 1,085,053.92 and 499,608 is: 689,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,144 : 1,085,053.92 = 499,608 : x
  2. Step 2: Convert to fraction form
    786,144/1,085,053.92 = 499,608/x
  3. Step 3: Cross multiply
    786,144x = 1,085,053.92 × 499,608
  4. Step 4: Simplify right side
    786,144x = 542,101,618,863.36
  5. Step 5: Solve for x
    x = 542,101,618,863.36/786,144
  6. Step 6: Final answer
    x = 689,570.38

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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.