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Finding the Fourth Proportional to 371,271.62, 512,355.34 and 201,505.74

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Solution

The fourth proportional to 371,271.62, 512,355.34 and 201,505.74 is: 278,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,271.62 : 512,355.34 = 201,505.74 : x
  2. Step 2: Convert to fraction form
    371,271.62/512,355.34 = 201,505.74/x
  3. Step 3: Cross multiply
    371,271.62x = 512,355.34 × 201,505.74
  4. Step 4: Simplify right side
    371,271.62x = 103,242,541,929.65
  5. Step 5: Solve for x
    x = 103,242,541,929.65/371,271.62
  6. Step 6: Final answer
    x = 278,078.19

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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.