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Finding the Fourth Proportional to 277,901.60, 416,809.20 and 78,202.40

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Solution

The fourth proportional to 277,901.60, 416,809.20 and 78,202.40 is: 117,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,901.60 : 416,809.20 = 78,202.40 : x
  2. Step 2: Convert to fraction form
    277,901.60/416,809.20 = 78,202.40/x
  3. Step 3: Cross multiply
    277,901.60x = 416,809.20 × 78,202.40
  4. Step 4: Simplify right side
    277,901.60x = 32,595,479,782.08
  5. Step 5: Solve for x
    x = 32,595,479,782.08/277,901.60
  6. Step 6: Final answer
    x = 117,291.44

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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.