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Finding the Fourth Proportional to 288,347.86, 397,920.90 and 161,028.28

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Solution

The fourth proportional to 288,347.86, 397,920.90 and 161,028.28 is: 222,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,347.86 : 397,920.90 = 161,028.28 : x
  2. Step 2: Convert to fraction form
    288,347.86/397,920.90 = 161,028.28/x
  3. Step 3: Cross multiply
    288,347.86x = 397,920.90 × 161,028.28
  4. Step 4: Simplify right side
    288,347.86x = 64,076,518,103.05
  5. Step 5: Solve for x
    x = 64,076,518,103.05/288,347.86
  6. Step 6: Final answer
    x = 222,219.50

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1.5x scale

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.