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Finding the Fourth Proportional to 357,113.48, 492,815.16 and 195,971.22

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Solution

The fourth proportional to 357,113.48, 492,815.16 and 195,971.22 is: 270,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,113.48 : 492,815.16 = 195,971.22 : x
  2. Step 2: Convert to fraction form
    357,113.48/492,815.16 = 195,971.22/x
  3. Step 3: Cross multiply
    357,113.48x = 492,815.16 × 195,971.22
  4. Step 4: Simplify right side
    357,113.48x = 96,577,588,139.70
  5. Step 5: Solve for x
    x = 96,577,588,139.70/357,113.48
  6. Step 6: Final answer
    x = 270,439.50

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