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Finding the Fourth Proportional to 342,075.63, 512,896.06 and 300,040.11

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Solution

The fourth proportional to 342,075.63, 512,896.06 and 300,040.11 is: 449,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,075.63 : 512,896.06 = 300,040.11 : x
  2. Step 2: Convert to fraction form
    342,075.63/512,896.06 = 300,040.11/x
  3. Step 3: Cross multiply
    342,075.63x = 512,896.06 × 300,040.11
  4. Step 4: Simplify right side
    342,075.63x = 153,889,390,260.97
  5. Step 5: Solve for x
    x = 153,889,390,260.97/342,075.63
  6. Step 6: Final answer
    x = 449,869.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.