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Finding the Fourth Proportional to 405,747.76, 559,921.80 and 224,469.76

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Solution

The fourth proportional to 405,747.76, 559,921.80 and 224,469.76 is: 309,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,747.76 : 559,921.80 = 224,469.76 : x
  2. Step 2: Convert to fraction form
    405,747.76/559,921.80 = 224,469.76/x
  3. Step 3: Cross multiply
    405,747.76x = 559,921.80 × 224,469.76
  4. Step 4: Simplify right side
    405,747.76x = 125,685,512,064.77
  5. Step 5: Solve for x
    x = 125,685,512,064.77/405,747.76
  6. Step 6: Final answer
    x = 309,762.68

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1.5x scale

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.