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Finding the Fourth Proportional to 387,046.30, 534,030.42 and 225,809.32

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Solution

The fourth proportional to 387,046.30, 534,030.42 and 225,809.32 is: 311,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,046.30 : 534,030.42 = 225,809.32 : x
  2. Step 2: Convert to fraction form
    387,046.30/534,030.42 = 225,809.32/x
  3. Step 3: Cross multiply
    387,046.30x = 534,030.42 × 225,809.32
  4. Step 4: Simplify right side
    387,046.30x = 120,589,045,999.51
  5. Step 5: Solve for x
    x = 120,589,045,999.51/387,046.30
  6. Step 6: Final answer
    x = 311,562.33

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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.