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Finding the Fourth Proportional to 319,954.08, 441,298 and 283,698.08

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Solution

The fourth proportional to 319,954.08, 441,298 and 283,698.08 is: 391,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,954.08 : 441,298 = 283,698.08 : x
  2. Step 2: Convert to fraction form
    319,954.08/441,298 = 283,698.08/x
  3. Step 3: Cross multiply
    319,954.08x = 441,298 × 283,698.08
  4. Step 4: Simplify right side
    319,954.08x = 125,195,395,307.84
  5. Step 5: Solve for x
    x = 125,195,395,307.84/319,954.08
  6. Step 6: Final answer
    x = 391,291.76

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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.