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Finding the Fourth Proportional to 356,577.18, 492,054.18 and 195,420.80

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Solution

The fourth proportional to 356,577.18, 492,054.18 and 195,420.80 is: 269,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,577.18 : 492,054.18 = 195,420.80 : x
  2. Step 2: Convert to fraction form
    356,577.18/492,054.18 = 195,420.80/x
  3. Step 3: Cross multiply
    356,577.18x = 492,054.18 × 195,420.80
  4. Step 4: Simplify right side
    356,577.18x = 96,157,621,498.94
  5. Step 5: Solve for x
    x = 96,157,621,498.94/356,577.18
  6. Step 6: Final answer
    x = 269,668.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.