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Finding the Fourth Proportional to 509,957.37, 703,779.44 and 306,017.19

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Solution

The fourth proportional to 509,957.37, 703,779.44 and 306,017.19 is: 422,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,957.37 : 703,779.44 = 306,017.19 : x
  2. Step 2: Convert to fraction form
    509,957.37/703,779.44 = 306,017.19/x
  3. Step 3: Cross multiply
    509,957.37x = 703,779.44 × 306,017.19
  4. Step 4: Simplify right side
    509,957.37x = 215,368,605,078.49
  5. Step 5: Solve for x
    x = 215,368,605,078.49/509,957.37
  6. Step 6: Final answer
    x = 422,326.68

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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.