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Finding the Fourth Proportional to 286,266.94, 429,400.41 and 108,731.95

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Solution

The fourth proportional to 286,266.94, 429,400.41 and 108,731.95 is: 163,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,266.94 : 429,400.41 = 108,731.95 : x
  2. Step 2: Convert to fraction form
    286,266.94/429,400.41 = 108,731.95/x
  3. Step 3: Cross multiply
    286,266.94x = 429,400.41 × 108,731.95
  4. Step 4: Simplify right side
    286,266.94x = 46,689,543,910.10
  5. Step 5: Solve for x
    x = 46,689,543,910.10/286,266.94
  6. Step 6: Final answer
    x = 163,097.93

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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.