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Finding the Fourth Proportional to 357,119.17, 492,747.47 and 206,128.69

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Solution

The fourth proportional to 357,119.17, 492,747.47 and 206,128.69 is: 284,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,119.17 : 492,747.47 = 206,128.69 : x
  2. Step 2: Convert to fraction form
    357,119.17/492,747.47 = 206,128.69/x
  3. Step 3: Cross multiply
    357,119.17x = 492,747.47 × 206,128.69
  4. Step 4: Simplify right side
    357,119.17x = 101,569,389,002.39
  5. Step 5: Solve for x
    x = 101,569,389,002.39/357,119.17
  6. Step 6: Final answer
    x = 284,413.15

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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.