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Finding the Fourth Proportional to 205,294.40, 308,114.40 and 100,203.20

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Solution

The fourth proportional to 205,294.40, 308,114.40 and 100,203.20 is: 150,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,294.40 : 308,114.40 = 100,203.20 : x
  2. Step 2: Convert to fraction form
    205,294.40/308,114.40 = 100,203.20/x
  3. Step 3: Cross multiply
    205,294.40x = 308,114.40 × 100,203.20
  4. Step 4: Simplify right side
    205,294.40x = 30,874,048,846.08
  5. Step 5: Solve for x
    x = 30,874,048,846.08/205,294.40
  6. Step 6: Final answer
    x = 150,389.14

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1.5x scale

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.