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Finding the Fourth Proportional to 395,382, 591,585 and 277,283.76

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Solution

The fourth proportional to 395,382, 591,585 and 277,283.76 is: 414,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,382 : 591,585 = 277,283.76 : x
  2. Step 2: Convert to fraction form
    395,382/591,585 = 277,283.76/x
  3. Step 3: Cross multiply
    395,382x = 591,585 × 277,283.76
  4. Step 4: Simplify right side
    395,382x = 164,036,913,159.60
  5. Step 5: Solve for x
    x = 164,036,913,159.60/395,382
  6. Step 6: Final answer
    x = 414,882.10

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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.