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Finding the Fourth Proportional to 405,700.07, 559,859.18 and 224,411.86

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Solution

The fourth proportional to 405,700.07, 559,859.18 and 224,411.86 is: 309,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,700.07 : 559,859.18 = 224,411.86 : x
  2. Step 2: Convert to fraction form
    405,700.07/559,859.18 = 224,411.86/x
  3. Step 3: Cross multiply
    405,700.07x = 559,859.18 × 224,411.86
  4. Step 4: Simplify right side
    405,700.07x = 125,639,039,921.88
  5. Step 5: Solve for x
    x = 125,639,039,921.88/405,700.07
  6. Step 6: Final answer
    x = 309,684.54

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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.