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Finding the Fourth Proportional to 405,530.94, 559,408.23 and 235,746.30

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Solution

The fourth proportional to 405,530.94, 559,408.23 and 235,746.30 is: 325,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,530.94 : 559,408.23 = 235,746.30 : x
  2. Step 2: Convert to fraction form
    405,530.94/559,408.23 = 235,746.30/x
  3. Step 3: Cross multiply
    405,530.94x = 559,408.23 × 235,746.30
  4. Step 4: Simplify right side
    405,530.94x = 131,878,420,412.05
  5. Step 5: Solve for x
    x = 131,878,420,412.05/405,530.94
  6. Step 6: Final answer
    x = 325,199.41

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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.