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Finding the Fourth Proportional to 289,768.97, 400,075.33 and 181,038.82

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Solution

The fourth proportional to 289,768.97, 400,075.33 and 181,038.82 is: 249,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,768.97 : 400,075.33 = 181,038.82 : x
  2. Step 2: Convert to fraction form
    289,768.97/400,075.33 = 181,038.82/x
  3. Step 3: Cross multiply
    289,768.97x = 400,075.33 × 181,038.82
  4. Step 4: Simplify right side
    289,768.97x = 72,429,165,654.31
  5. Step 5: Solve for x
    x = 72,429,165,654.31/289,768.97
  6. Step 6: Final answer
    x = 249,954.87

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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.