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Finding the Fourth Proportional to 405,928.54, 560,457.03 and 253,027.90

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Solution

The fourth proportional to 405,928.54, 560,457.03 and 253,027.90 is: 349,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,928.54 : 560,457.03 = 253,027.90 : x
  2. Step 2: Convert to fraction form
    405,928.54/560,457.03 = 253,027.90/x
  3. Step 3: Cross multiply
    405,928.54x = 560,457.03 × 253,027.90
  4. Step 4: Simplify right side
    405,928.54x = 141,811,265,341.14
  5. Step 5: Solve for x
    x = 141,811,265,341.14/405,928.54
  6. Step 6: Final answer
    x = 349,350.32

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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.