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Finding the Fourth Proportional to 405,901.68, 560,145.24 and 224,626.80

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Solution

The fourth proportional to 405,901.68, 560,145.24 and 224,626.80 is: 309,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,901.68 : 560,145.24 = 224,626.80 : x
  2. Step 2: Convert to fraction form
    405,901.68/560,145.24 = 224,626.80/x
  3. Step 3: Cross multiply
    405,901.68x = 560,145.24 × 224,626.80
  4. Step 4: Simplify right side
    405,901.68x = 125,823,632,796.43
  5. Step 5: Solve for x
    x = 125,823,632,796.43/405,901.68
  6. Step 6: Final answer
    x = 309,985.49

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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.