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Finding the Fourth Proportional to 205,415.20, 308,122.80 and 116,941.60

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Solution

The fourth proportional to 205,415.20, 308,122.80 and 116,941.60 is: 175,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,415.20 : 308,122.80 = 116,941.60 : x
  2. Step 2: Convert to fraction form
    205,415.20/308,122.80 = 116,941.60/x
  3. Step 3: Cross multiply
    205,415.20x = 308,122.80 × 116,941.60
  4. Step 4: Simplify right side
    205,415.20x = 36,032,373,228.48
  5. Step 5: Solve for x
    x = 36,032,373,228.48/205,415.20
  6. Step 6: Final answer
    x = 175,412.40

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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.