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Finding the Fourth Proportional to 405,462.85, 559,516.12 and 224,164.20

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Solution

The fourth proportional to 405,462.85, 559,516.12 and 224,164.20 is: 309,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,462.85 : 559,516.12 = 224,164.20 : x
  2. Step 2: Convert to fraction form
    405,462.85/559,516.12 = 224,164.20/x
  3. Step 3: Cross multiply
    405,462.85x = 559,516.12 × 224,164.20
  4. Step 4: Simplify right side
    405,462.85x = 125,423,483,426.90
  5. Step 5: Solve for x
    x = 125,423,483,426.90/405,462.85
  6. Step 6: Final answer
    x = 309,334.09

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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.