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Finding the Fourth Proportional to 298,657.49, 447,830.71 and 140,843.57

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Solution

The fourth proportional to 298,657.49, 447,830.71 and 140,843.57 is: 211,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,657.49 : 447,830.71 = 140,843.57 : x
  2. Step 2: Convert to fraction form
    298,657.49/447,830.71 = 140,843.57/x
  3. Step 3: Cross multiply
    298,657.49x = 447,830.71 × 140,843.57
  4. Step 4: Simplify right side
    298,657.49x = 63,074,075,952.03
  5. Step 5: Solve for x
    x = 63,074,075,952.03/298,657.49
  6. Step 6: Final answer
    x = 211,192.01

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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.