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Finding the Fourth Proportional to 405,622.49, 559,709.80 and 224,309.72

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Solution

The fourth proportional to 405,622.49, 559,709.80 and 224,309.72 is: 309,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,622.49 : 559,709.80 = 224,309.72 : x
  2. Step 2: Convert to fraction form
    405,622.49/559,709.80 = 224,309.72/x
  3. Step 3: Cross multiply
    405,622.49x = 559,709.80 × 224,309.72
  4. Step 4: Simplify right side
    405,622.49x = 125,548,349,357.76
  5. Step 5: Solve for x
    x = 125,548,349,357.76/405,622.49
  6. Step 6: Final answer
    x = 309,520.19

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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.