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Finding the Fourth Proportional to 277,740, 383,280.48 and 150,415.20

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Solution

The fourth proportional to 277,740, 383,280.48 and 150,415.20 is: 207,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,740 : 383,280.48 = 150,415.20 : x
  2. Step 2: Convert to fraction form
    277,740/383,280.48 = 150,415.20/x
  3. Step 3: Cross multiply
    277,740x = 383,280.48 × 150,415.20
  4. Step 4: Simplify right side
    277,740x = 57,651,210,055.30
  5. Step 5: Solve for x
    x = 57,651,210,055.30/277,740
  6. Step 6: Final answer
    x = 207,572.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.