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Finding the Fourth Proportional to 405,538.50, 559,457.11 and 262,344.72

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Solution

The fourth proportional to 405,538.50, 559,457.11 and 262,344.72 is: 361,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,538.50 : 559,457.11 = 262,344.72 : x
  2. Step 2: Convert to fraction form
    405,538.50/559,457.11 = 262,344.72/x
  3. Step 3: Cross multiply
    405,538.50x = 559,457.11 × 262,344.72
  4. Step 4: Simplify right side
    405,538.50x = 146,770,615,421.81
  5. Step 5: Solve for x
    x = 146,770,615,421.81/405,538.50
  6. Step 6: Final answer
    x = 361,915.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.