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Finding the Fourth Proportional to 393,300, 589,899.78 and 127,032.84

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Solution

The fourth proportional to 393,300, 589,899.78 and 127,032.84 is: 190,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,300 : 589,899.78 = 127,032.84 : x
  2. Step 2: Convert to fraction form
    393,300/589,899.78 = 127,032.84/x
  3. Step 3: Cross multiply
    393,300x = 589,899.78 × 127,032.84
  4. Step 4: Simplify right side
    393,300x = 74,936,644,368.78
  5. Step 5: Solve for x
    x = 74,936,644,368.78/393,300
  6. Step 6: Final answer
    x = 190,533.04

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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.