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Finding the Fourth Proportional to 509,661.72, 703,291.32 and 300,076.32

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Solution

The fourth proportional to 509,661.72, 703,291.32 and 300,076.32 is: 414,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,661.72 : 703,291.32 = 300,076.32 : x
  2. Step 2: Convert to fraction form
    509,661.72/703,291.32 = 300,076.32/x
  3. Step 3: Cross multiply
    509,661.72x = 703,291.32 × 300,076.32
  4. Step 4: Simplify right side
    509,661.72x = 211,041,071,193.54
  5. Step 5: Solve for x
    x = 211,041,071,193.54/509,661.72
  6. Step 6: Final answer
    x = 414,080.68

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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.