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Finding the Fourth Proportional to 395,392, 591,600 and 277,293.76

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Solution

The fourth proportional to 395,392, 591,600 and 277,293.76 is: 414,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,392 : 591,600 = 277,293.76 : x
  2. Step 2: Convert to fraction form
    395,392/591,600 = 277,293.76/x
  3. Step 3: Cross multiply
    395,392x = 591,600 × 277,293.76
  4. Step 4: Simplify right side
    395,392x = 164,046,988,416
  5. Step 5: Solve for x
    x = 164,046,988,416/395,392
  6. Step 6: Final answer
    x = 414,897.09

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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.