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Finding the Fourth Proportional to 405,604.65, 559,809.30 and 260,591.71

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Solution

The fourth proportional to 405,604.65, 559,809.30 and 260,591.71 is: 359,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,604.65 : 559,809.30 = 260,591.71 : x
  2. Step 2: Convert to fraction form
    405,604.65/559,809.30 = 260,591.71/x
  3. Step 3: Cross multiply
    405,604.65x = 559,809.30 × 260,591.71
  4. Step 4: Simplify right side
    405,604.65x = 145,881,664,160.43
  5. Step 5: Solve for x
    x = 145,881,664,160.43/405,604.65
  6. Step 6: Final answer
    x = 359,664.67

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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.