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Finding the Fourth Proportional to 388,104.90, 535,570.83 and 216,017.16

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Solution

The fourth proportional to 388,104.90, 535,570.83 and 216,017.16 is: 298,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,104.90 : 535,570.83 = 216,017.16 : x
  2. Step 2: Convert to fraction form
    388,104.90/535,570.83 = 216,017.16/x
  3. Step 3: Cross multiply
    388,104.90x = 535,570.83 × 216,017.16
  4. Step 4: Simplify right side
    388,104.90x = 115,692,489,675.44
  5. Step 5: Solve for x
    x = 115,692,489,675.44/388,104.90
  6. Step 6: Final answer
    x = 298,095.93

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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.