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Finding the Fourth Proportional to 380,554.25, 570,865.09 and 100,071.50

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Solution

The fourth proportional to 380,554.25, 570,865.09 and 100,071.50 is: 150,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,554.25 : 570,865.09 = 100,071.50 : x
  2. Step 2: Convert to fraction form
    380,554.25/570,865.09 = 100,071.50/x
  3. Step 3: Cross multiply
    380,554.25x = 570,865.09 × 100,071.50
  4. Step 4: Simplify right side
    380,554.25x = 57,127,326,104.11
  5. Step 5: Solve for x
    x = 57,127,326,104.11/380,554.25
  6. Step 6: Final answer
    x = 150,116.12

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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.