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Finding the Fourth Proportional to 456,770.34, 685,352.48 and 190,583.28

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Solution

The fourth proportional to 456,770.34, 685,352.48 and 190,583.28 is: 285,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,770.34 : 685,352.48 = 190,583.28 : x
  2. Step 2: Convert to fraction form
    456,770.34/685,352.48 = 190,583.28/x
  3. Step 3: Cross multiply
    456,770.34x = 685,352.48 × 190,583.28
  4. Step 4: Simplify right side
    456,770.34x = 130,616,722,641.62
  5. Step 5: Solve for x
    x = 130,616,722,641.62/456,770.34
  6. Step 6: Final answer
    x = 285,957.10

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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.