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Finding the Fourth Proportional to 286,208.81, 429,299.36 and 108,701.97

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Solution

The fourth proportional to 286,208.81, 429,299.36 and 108,701.97 is: 163,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,208.81 : 429,299.36 = 108,701.97 : x
  2. Step 2: Convert to fraction form
    286,208.81/429,299.36 = 108,701.97/x
  3. Step 3: Cross multiply
    286,208.81x = 429,299.36 × 108,701.97
  4. Step 4: Simplify right side
    286,208.81x = 46,665,684,405.99
  5. Step 5: Solve for x
    x = 46,665,684,405.99/286,208.81
  6. Step 6: Final answer
    x = 163,047.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.