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Finding the Fourth Proportional to 491,565.69, 677,998.49 and 370,712.07

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Solution

The fourth proportional to 491,565.69, 677,998.49 and 370,712.07 is: 511,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,565.69 : 677,998.49 = 370,712.07 : x
  2. Step 2: Convert to fraction form
    491,565.69/677,998.49 = 370,712.07/x
  3. Step 3: Cross multiply
    491,565.69x = 677,998.49 × 370,712.07
  4. Step 4: Simplify right side
    491,565.69x = 251,342,221,831.21
  5. Step 5: Solve for x
    x = 251,342,221,831.21/491,565.69
  6. Step 6: Final answer
    x = 511,309.53

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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.