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Finding the Fourth Proportional to 357,084, 492,775.92 and 198,108

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Solution

The fourth proportional to 357,084, 492,775.92 and 198,108 is: 273,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,084 : 492,775.92 = 198,108 : x
  2. Step 2: Convert to fraction form
    357,084/492,775.92 = 198,108/x
  3. Step 3: Cross multiply
    357,084x = 492,775.92 × 198,108
  4. Step 4: Simplify right side
    357,084x = 97,622,851,959.36
  5. Step 5: Solve for x
    x = 97,622,851,959.36/357,084
  6. Step 6: Final answer
    x = 273,389.04

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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.