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Finding the Fourth Proportional to 357,115.40, 492,825.29 and 195,985.45

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Solution

The fourth proportional to 357,115.40, 492,825.29 and 195,985.45 is: 270,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,115.40 : 492,825.29 = 195,985.45 : x
  2. Step 2: Convert to fraction form
    357,115.40/492,825.29 = 195,985.45/x
  3. Step 3: Cross multiply
    357,115.40x = 492,825.29 × 195,985.45
  4. Step 4: Simplify right side
    357,115.40x = 96,586,586,232.03
  5. Step 5: Solve for x
    x = 96,586,586,232.03/357,115.40
  6. Step 6: Final answer
    x = 270,463.23

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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.