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Finding the Fourth Proportional to 405,408, 559,497.60 and 226,594.56

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Solution

The fourth proportional to 405,408, 559,497.60 and 226,594.56 is: 312,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,408 : 559,497.60 = 226,594.56 : x
  2. Step 2: Convert to fraction form
    405,408/559,497.60 = 226,594.56/x
  3. Step 3: Cross multiply
    405,408x = 559,497.60 × 226,594.56
  4. Step 4: Simplify right side
    405,408x = 126,779,112,493.06
  5. Step 5: Solve for x
    x = 126,779,112,493.06/405,408
  6. Step 6: Final answer
    x = 312,719.81

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1.5x scale

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.