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Finding the Fourth Proportional to 405,516.64, 559,590.30 and 224,217.64

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Solution

The fourth proportional to 405,516.64, 559,590.30 and 224,217.64 is: 309,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,516.64 : 559,590.30 = 224,217.64 : x
  2. Step 2: Convert to fraction form
    405,516.64/559,590.30 = 224,217.64/x
  3. Step 3: Cross multiply
    405,516.64x = 559,590.30 × 224,217.64
  4. Step 4: Simplify right side
    405,516.64x = 125,470,016,432.89
  5. Step 5: Solve for x
    x = 125,470,016,432.89/405,516.64
  6. Step 6: Final answer
    x = 309,407.81

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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.