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Finding the Fourth Proportional to 286,618.41, 429,928.65 and 86,940.54

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Solution

The fourth proportional to 286,618.41, 429,928.65 and 86,940.54 is: 130,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,618.41 : 429,928.65 = 86,940.54 : x
  2. Step 2: Convert to fraction form
    286,618.41/429,928.65 = 86,940.54/x
  3. Step 3: Cross multiply
    286,618.41x = 429,928.65 × 86,940.54
  4. Step 4: Simplify right side
    286,618.41x = 37,378,228,992.47
  5. Step 5: Solve for x
    x = 37,378,228,992.47/286,618.41
  6. Step 6: Final answer
    x = 130,411.12

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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.