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Finding the Fourth Proportional to 319,580.64, 441,022.86 and 176,340.78

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Solution

The fourth proportional to 319,580.64, 441,022.86 and 176,340.78 is: 243,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,580.64 : 441,022.86 = 176,340.78 : x
  2. Step 2: Convert to fraction form
    319,580.64/441,022.86 = 176,340.78/x
  3. Step 3: Cross multiply
    319,580.64x = 441,022.86 × 176,340.78
  4. Step 4: Simplify right side
    319,580.64x = 77,770,315,130.23
  5. Step 5: Solve for x
    x = 77,770,315,130.23/319,580.64
  6. Step 6: Final answer
    x = 243,351.15

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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.