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Finding the Fourth Proportional to 388,343.36, 535,945.92 and 216,294.32

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Solution

The fourth proportional to 388,343.36, 535,945.92 and 216,294.32 is: 298,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,343.36 : 535,945.92 = 216,294.32 : x
  2. Step 2: Convert to fraction form
    388,343.36/535,945.92 = 216,294.32/x
  3. Step 3: Cross multiply
    388,343.36x = 535,945.92 × 216,294.32
  4. Step 4: Simplify right side
    388,343.36x = 115,922,058,323.17
  5. Step 5: Solve for x
    x = 115,922,058,323.17/388,343.36
  6. Step 6: Final answer
    x = 298,504.03

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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.