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Finding the Fourth Proportional to 285,403.04, 427,871.04 and 107,809.28

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Solution

The fourth proportional to 285,403.04, 427,871.04 and 107,809.28 is: 161,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,403.04 : 427,871.04 = 107,809.28 : x
  2. Step 2: Convert to fraction form
    285,403.04/427,871.04 = 107,809.28/x
  3. Step 3: Cross multiply
    285,403.04x = 427,871.04 × 107,809.28
  4. Step 4: Simplify right side
    285,403.04x = 46,128,468,755.25
  5. Step 5: Solve for x
    x = 46,128,468,755.25/285,403.04
  6. Step 6: Final answer
    x = 161,625.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.