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Finding the Fourth Proportional to 388,075.78, 582,113.82 and 174,594.40

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Solution

The fourth proportional to 388,075.78, 582,113.82 and 174,594.40 is: 261,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,075.78 : 582,113.82 = 174,594.40 : x
  2. Step 2: Convert to fraction form
    388,075.78/582,113.82 = 174,594.40/x
  3. Step 3: Cross multiply
    388,075.78x = 582,113.82 × 174,594.40
  4. Step 4: Simplify right side
    388,075.78x = 101,633,813,134.61
  5. Step 5: Solve for x
    x = 101,633,813,134.61/388,075.78
  6. Step 6: Final answer
    x = 261,891.67

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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.