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Finding the Fourth Proportional to 352,897.41, 486,943.61 and 209,653.77

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Solution

The fourth proportional to 352,897.41, 486,943.61 and 209,653.77 is: 289,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,897.41 : 486,943.61 = 209,653.77 : x
  2. Step 2: Convert to fraction form
    352,897.41/486,943.61 = 209,653.77/x
  3. Step 3: Cross multiply
    352,897.41x = 486,943.61 × 209,653.77
  4. Step 4: Simplify right side
    352,897.41x = 102,089,562,565.64
  5. Step 5: Solve for x
    x = 102,089,562,565.64/352,897.41
  6. Step 6: Final answer
    x = 289,289.63

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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.