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Finding the Fourth Proportional to 270,234, 405,347.76 and 253,792.68

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Solution

The fourth proportional to 270,234, 405,347.76 and 253,792.68 is: 380,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,234 : 405,347.76 = 253,792.68 : x
  2. Step 2: Convert to fraction form
    270,234/405,347.76 = 253,792.68/x
  3. Step 3: Cross multiply
    270,234x = 405,347.76 × 253,792.68
  4. Step 4: Simplify right side
    270,234x = 102,874,294,342.40
  5. Step 5: Solve for x
    x = 102,874,294,342.40/270,234
  6. Step 6: Final answer
    x = 380,685.98

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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.