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Finding the Fourth Proportional to 357,066, 492,751.08 and 198,090

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Solution

The fourth proportional to 357,066, 492,751.08 and 198,090 is: 273,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,066 : 492,751.08 = 198,090 : x
  2. Step 2: Convert to fraction form
    357,066/492,751.08 = 198,090/x
  3. Step 3: Cross multiply
    357,066x = 492,751.08 × 198,090
  4. Step 4: Simplify right side
    357,066x = 97,609,061,437.20
  5. Step 5: Solve for x
    x = 97,609,061,437.20/357,066
  6. Step 6: Final answer
    x = 273,364.20

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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.