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Finding the Fourth Proportional to 277,720.48, 416,571.12 and 78,042.40

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Solution

The fourth proportional to 277,720.48, 416,571.12 and 78,042.40 is: 117,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,720.48 : 416,571.12 = 78,042.40 : x
  2. Step 2: Convert to fraction form
    277,720.48/416,571.12 = 78,042.40/x
  3. Step 3: Cross multiply
    277,720.48x = 416,571.12 × 78,042.40
  4. Step 4: Simplify right side
    277,720.48x = 32,510,209,975.49
  5. Step 5: Solve for x
    x = 32,510,209,975.49/277,720.48
  6. Step 6: Final answer
    x = 117,060.90

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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.