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Finding the Fourth Proportional to 457,348.69, 685,912.69 and 190,964.80

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Solution

The fourth proportional to 457,348.69, 685,912.69 and 190,964.80 is: 286,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,348.69 : 685,912.69 = 190,964.80 : x
  2. Step 2: Convert to fraction form
    457,348.69/685,912.69 = 190,964.80/x
  3. Step 3: Cross multiply
    457,348.69x = 685,912.69 × 190,964.80
  4. Step 4: Simplify right side
    457,348.69x = 130,985,179,663.31
  5. Step 5: Solve for x
    x = 130,985,179,663.31/457,348.69
  6. Step 6: Final answer
    x = 286,401.13

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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.