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Finding the Fourth Proportional to 388,745.80, 535,669.86 and 298,097.08

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Solution

The fourth proportional to 388,745.80, 535,669.86 and 298,097.08 is: 410,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,745.80 : 535,669.86 = 298,097.08 : x
  2. Step 2: Convert to fraction form
    388,745.80/535,669.86 = 298,097.08/x
  3. Step 3: Cross multiply
    388,745.80x = 535,669.86 × 298,097.08
  4. Step 4: Simplify right side
    388,745.80x = 159,681,621,110.01
  5. Step 5: Solve for x
    x = 159,681,621,110.01/388,745.80
  6. Step 6: Final answer
    x = 410,761.02

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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.