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Finding the Fourth Proportional to 286,075.28, 394,802.37 and 158,750.87

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Solution

The fourth proportional to 286,075.28, 394,802.37 and 158,750.87 is: 219,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,075.28 : 394,802.37 = 158,750.87 : x
  2. Step 2: Convert to fraction form
    286,075.28/394,802.37 = 158,750.87/x
  3. Step 3: Cross multiply
    286,075.28x = 394,802.37 × 158,750.87
  4. Step 4: Simplify right side
    286,075.28x = 62,675,219,715.56
  5. Step 5: Solve for x
    x = 62,675,219,715.56/286,075.28
  6. Step 6: Final answer
    x = 219,086.46

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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.