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Finding the Fourth Proportional to 277,671.60, 416,464.20 and 77,972.40

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Solution

The fourth proportional to 277,671.60, 416,464.20 and 77,972.40 is: 116,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,671.60 : 416,464.20 = 77,972.40 : x
  2. Step 2: Convert to fraction form
    277,671.60/416,464.20 = 77,972.40/x
  3. Step 3: Cross multiply
    277,671.60x = 416,464.20 × 77,972.40
  4. Step 4: Simplify right side
    277,671.60x = 32,472,713,188.08
  5. Step 5: Solve for x
    x = 32,472,713,188.08/277,671.60
  6. Step 6: Final answer
    x = 116,946.47

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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.