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Finding the Fourth Proportional to 388,209.94, 535,741.54 and 211,411.98

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Solution

The fourth proportional to 388,209.94, 535,741.54 and 211,411.98 is: 291,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,209.94 : 535,741.54 = 211,411.98 : x
  2. Step 2: Convert to fraction form
    388,209.94/535,741.54 = 211,411.98/x
  3. Step 3: Cross multiply
    388,209.94x = 535,741.54 × 211,411.98
  4. Step 4: Simplify right side
    388,209.94x = 113,262,179,739.65
  5. Step 5: Solve for x
    x = 113,262,179,739.65/388,209.94
  6. Step 6: Final answer
    x = 291,754.97

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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.