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Finding the Fourth Proportional to 405,322.60, 559,334.80 and 224,021.92

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Solution

The fourth proportional to 405,322.60, 559,334.80 and 224,021.92 is: 309,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,322.60 : 559,334.80 = 224,021.92 : x
  2. Step 2: Convert to fraction form
    405,322.60/559,334.80 = 224,021.92/x
  3. Step 3: Cross multiply
    405,322.60x = 559,334.80 × 224,021.92
  4. Step 4: Simplify right side
    405,322.60x = 125,303,255,818.82
  5. Step 5: Solve for x
    x = 125,303,255,818.82/405,322.60
  6. Step 6: Final answer
    x = 309,144.51

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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.