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Finding the Fourth Proportional to 319,636.47, 441,097.43 and 176,395.49

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Solution

The fourth proportional to 319,636.47, 441,097.43 and 176,395.49 is: 243,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,636.47 : 441,097.43 = 176,395.49 : x
  2. Step 2: Convert to fraction form
    319,636.47/441,097.43 = 176,395.49/x
  3. Step 3: Cross multiply
    319,636.47x = 441,097.43 × 176,395.49
  4. Step 4: Simplify right side
    319,636.47x = 77,807,597,302.59
  5. Step 5: Solve for x
    x = 77,807,597,302.59/319,636.47
  6. Step 6: Final answer
    x = 243,425.28

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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.