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Finding the Fourth Proportional to 286,075.94, 428,947.04 and 86,336.42

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Solution

The fourth proportional to 286,075.94, 428,947.04 and 86,336.42 is: 129,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,075.94 : 428,947.04 = 86,336.42 : x
  2. Step 2: Convert to fraction form
    286,075.94/428,947.04 = 86,336.42/x
  3. Step 3: Cross multiply
    286,075.94x = 428,947.04 × 86,336.42
  4. Step 4: Simplify right side
    286,075.94x = 37,033,749,874.30
  5. Step 5: Solve for x
    x = 37,033,749,874.30/286,075.94
  6. Step 6: Final answer
    x = 129,454.26

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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.