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Finding the Fourth Proportional to 512,375.94, 707,075.73 and 282,947.76

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Solution

The fourth proportional to 512,375.94, 707,075.73 and 282,947.76 is: 390,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,375.94 : 707,075.73 = 282,947.76 : x
  2. Step 2: Convert to fraction form
    512,375.94/707,075.73 = 282,947.76/x
  3. Step 3: Cross multiply
    512,375.94x = 707,075.73 × 282,947.76
  4. Step 4: Simplify right side
    512,375.94x = 200,065,493,953.87
  5. Step 5: Solve for x
    x = 200,065,493,953.87/512,375.94
  6. Step 6: Final answer
    x = 390,466.22

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1.5x scale

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.