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Finding the Fourth Proportional to 395,380, 591,582 and 277,281.76

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Solution

The fourth proportional to 395,380, 591,582 and 277,281.76 is: 414,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,380 : 591,582 = 277,281.76 : x
  2. Step 2: Convert to fraction form
    395,380/591,582 = 277,281.76/x
  3. Step 3: Cross multiply
    395,380x = 591,582 × 277,281.76
  4. Step 4: Simplify right side
    395,380x = 164,034,898,144.32
  5. Step 5: Solve for x
    x = 164,034,898,144.32/395,380
  6. Step 6: Final answer
    x = 414,879.10

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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.