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Finding the Fourth Proportional to 405,682.47, 559,332.86 and 260,231.81

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Solution

The fourth proportional to 405,682.47, 559,332.86 and 260,231.81 is: 358,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,682.47 : 559,332.86 = 260,231.81 : x
  2. Step 2: Convert to fraction form
    405,682.47/559,332.86 = 260,231.81/x
  3. Step 3: Cross multiply
    405,682.47x = 559,332.86 × 260,231.81
  4. Step 4: Simplify right side
    405,682.47x = 145,556,198,452.45
  5. Step 5: Solve for x
    x = 145,556,198,452.45/405,682.47
  6. Step 6: Final answer
    x = 358,793.41

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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.