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Finding the Fourth Proportional to 286,403.63, 429,497.44 and 230,105.39

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Solution

The fourth proportional to 286,403.63, 429,497.44 and 230,105.39 is: 345,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,403.63 : 429,497.44 = 230,105.39 : x
  2. Step 2: Convert to fraction form
    286,403.63/429,497.44 = 230,105.39/x
  3. Step 3: Cross multiply
    286,403.63x = 429,497.44 × 230,105.39
  4. Step 4: Simplify right side
    286,403.63x = 98,829,673,212.45
  5. Step 5: Solve for x
    x = 98,829,673,212.45/286,403.63
  6. Step 6: Final answer
    x = 345,071.31

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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.