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Finding the Fourth Proportional to 357,232, 492,980.16 and 198,256

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Solution

The fourth proportional to 357,232, 492,980.16 and 198,256 is: 273,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,232 : 492,980.16 = 198,256 : x
  2. Step 2: Convert to fraction form
    357,232/492,980.16 = 198,256/x
  3. Step 3: Cross multiply
    357,232x = 492,980.16 × 198,256
  4. Step 4: Simplify right side
    357,232x = 97,736,274,600.96
  5. Step 5: Solve for x
    x = 97,736,274,600.96/357,232
  6. Step 6: Final answer
    x = 273,593.28

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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.