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Finding the Fourth Proportional to 289,907.19, 400,075.29 and 160,848.09

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Solution

The fourth proportional to 289,907.19, 400,075.29 and 160,848.09 is: 221,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,907.19 : 400,075.29 = 160,848.09 : x
  2. Step 2: Convert to fraction form
    289,907.19/400,075.29 = 160,848.09/x
  3. Step 3: Cross multiply
    289,907.19x = 400,075.29 × 160,848.09
  4. Step 4: Simplify right side
    289,907.19x = 64,351,346,252.70
  5. Step 5: Solve for x
    x = 64,351,346,252.70/289,907.19
  6. Step 6: Final answer
    x = 221,972.23

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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.