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Finding the Fourth Proportional to 405,604.91, 559,809.65 and 260,591.97

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Solution

The fourth proportional to 405,604.91, 559,809.65 and 260,591.97 is: 359,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,604.91 : 559,809.65 = 260,591.97 : x
  2. Step 2: Convert to fraction form
    405,604.91/559,809.65 = 260,591.97/x
  3. Step 3: Cross multiply
    405,604.91x = 559,809.65 × 260,591.97
  4. Step 4: Simplify right side
    405,604.91x = 145,881,895,416.50
  5. Step 5: Solve for x
    x = 145,881,895,416.50/405,604.91
  6. Step 6: Final answer
    x = 359,665.02

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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.