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Finding the Fourth Proportional to 205,365.40, 308,048.10 and 148,940.80

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Solution

The fourth proportional to 205,365.40, 308,048.10 and 148,940.80 is: 223,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.40 : 308,048.10 = 148,940.80 : x
  2. Step 2: Convert to fraction form
    205,365.40/308,048.10 = 148,940.80/x
  3. Step 3: Cross multiply
    205,365.40x = 308,048.10 × 148,940.80
  4. Step 4: Simplify right side
    205,365.40x = 45,880,930,452.48
  5. Step 5: Solve for x
    x = 45,880,930,452.48/205,365.40
  6. Step 6: Final answer
    x = 223,411.20

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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.