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Finding the Fourth Proportional to 405,730.76, 559,898.34 and 224,452.76

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Solution

The fourth proportional to 405,730.76, 559,898.34 and 224,452.76 is: 309,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,730.76 : 559,898.34 = 224,452.76 : x
  2. Step 2: Convert to fraction form
    405,730.76/559,898.34 = 224,452.76/x
  3. Step 3: Cross multiply
    405,730.76x = 559,898.34 × 224,452.76
  4. Step 4: Simplify right side
    405,730.76x = 125,670,727,732.42
  5. Step 5: Solve for x
    x = 125,670,727,732.42/405,730.76
  6. Step 6: Final answer
    x = 309,739.22

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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.