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Finding the Fourth Proportional to 405,606.40, 559,811.72 and 260,593.46

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Solution

The fourth proportional to 405,606.40, 559,811.72 and 260,593.46 is: 359,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,606.40 : 559,811.72 = 260,593.46 : x
  2. Step 2: Convert to fraction form
    405,606.40/559,811.72 = 260,593.46/x
  3. Step 3: Cross multiply
    405,606.40x = 559,811.72 × 260,593.46
  4. Step 4: Simplify right side
    405,606.40x = 145,883,273,063.35
  5. Step 5: Solve for x
    x = 145,883,273,063.35/405,606.40
  6. Step 6: Final answer
    x = 359,667.09

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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.