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Finding the Fourth Proportional to 270,246, 405,365.76 and 253,804.68

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Solution

The fourth proportional to 270,246, 405,365.76 and 253,804.68 is: 380,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,246 : 405,365.76 = 253,804.68 : x
  2. Step 2: Convert to fraction form
    270,246/405,365.76 = 253,804.68/x
  3. Step 3: Cross multiply
    270,246x = 405,365.76 × 253,804.68
  4. Step 4: Simplify right side
    270,246x = 102,883,726,999.76
  5. Step 5: Solve for x
    x = 102,883,726,999.76/270,246
  6. Step 6: Final answer
    x = 380,703.98

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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.