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Finding the Fourth Proportional to 286,071.36, 394,807.68 and 158,747.84

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Solution

The fourth proportional to 286,071.36, 394,807.68 and 158,747.84 is: 219,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,071.36 : 394,807.68 = 158,747.84 : x
  2. Step 2: Convert to fraction form
    286,071.36/394,807.68 = 158,747.84/x
  3. Step 3: Cross multiply
    286,071.36x = 394,807.68 × 158,747.84
  4. Step 4: Simplify right side
    286,071.36x = 62,674,866,415.41
  5. Step 5: Solve for x
    x = 62,674,866,415.41/286,071.36
  6. Step 6: Final answer
    x = 219,088.22

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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.