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Finding the Fourth Proportional to 658,206, 908,330.76 and 356,406.48

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Solution

The fourth proportional to 658,206, 908,330.76 and 356,406.48 is: 491,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,206 : 908,330.76 = 356,406.48 : x
  2. Step 2: Convert to fraction form
    658,206/908,330.76 = 356,406.48/x
  3. Step 3: Cross multiply
    658,206x = 908,330.76 × 356,406.48
  4. Step 4: Simplify right side
    658,206x = 323,734,968,847.33
  5. Step 5: Solve for x
    x = 323,734,968,847.33/658,206
  6. Step 6: Final answer
    x = 491,844.45

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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.