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Finding the Fourth Proportional to 405,706.40, 559,831.78 and 224,389.52

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Solution

The fourth proportional to 405,706.40, 559,831.78 and 224,389.52 is: 309,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,706.40 : 559,831.78 = 224,389.52 : x
  2. Step 2: Convert to fraction form
    405,706.40/559,831.78 = 224,389.52/x
  3. Step 3: Cross multiply
    405,706.40x = 559,831.78 × 224,389.52
  4. Step 4: Simplify right side
    405,706.40x = 125,620,384,394.95
  5. Step 5: Solve for x
    x = 125,620,384,394.95/405,706.40
  6. Step 6: Final answer
    x = 309,633.73

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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.