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Finding the Fourth Proportional to 286,294, 395,097.90 and 158,969.50

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Solution

The fourth proportional to 286,294, 395,097.90 and 158,969.50 is: 219,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,294 : 395,097.90 = 158,969.50 : x
  2. Step 2: Convert to fraction form
    286,294/395,097.90 = 158,969.50/x
  3. Step 3: Cross multiply
    286,294x = 395,097.90 × 158,969.50
  4. Step 4: Simplify right side
    286,294x = 62,808,515,614.05
  5. Step 5: Solve for x
    x = 62,808,515,614.05/286,294
  6. Step 6: Final answer
    x = 219,384.67

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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.