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Finding the Fourth Proportional to 511,538.46, 705,907.64 and 282,095.64

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Solution

The fourth proportional to 511,538.46, 705,907.64 and 282,095.64 is: 389,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,538.46 : 705,907.64 = 282,095.64 : x
  2. Step 2: Convert to fraction form
    511,538.46/705,907.64 = 282,095.64/x
  3. Step 3: Cross multiply
    511,538.46x = 705,907.64 × 282,095.64
  4. Step 4: Simplify right side
    511,538.46x = 199,133,467,486.69
  5. Step 5: Solve for x
    x = 199,133,467,486.69/511,538.46
  6. Step 6: Final answer
    x = 389,283.47

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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.