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Finding the Fourth Proportional to 405,884.34, 559,662 and 303,581.95

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Solution

The fourth proportional to 405,884.34, 559,662 and 303,581.95 is: 418,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,884.34 : 559,662 = 303,581.95 : x
  2. Step 2: Convert to fraction form
    405,884.34/559,662 = 303,581.95/x
  3. Step 3: Cross multiply
    405,884.34x = 559,662 × 303,581.95
  4. Step 4: Simplify right side
    405,884.34x = 169,903,281,300.90
  5. Step 5: Solve for x
    x = 169,903,281,300.90/405,884.34
  6. Step 6: Final answer
    x = 418,600.24

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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.