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Finding the Fourth Proportional to 380,554.40, 570,056.52 and 180,267.68

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Solution

The fourth proportional to 380,554.40, 570,056.52 and 180,267.68 is: 270,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,554.40 : 570,056.52 = 180,267.68 : x
  2. Step 2: Convert to fraction form
    380,554.40/570,056.52 = 180,267.68/x
  3. Step 3: Cross multiply
    380,554.40x = 570,056.52 × 180,267.68
  4. Step 4: Simplify right side
    380,554.40x = 102,762,766,329.27
  5. Step 5: Solve for x
    x = 102,762,766,329.27/380,554.40
  6. Step 6: Final answer
    x = 270,034.37

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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.