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Finding the Fourth Proportional to 405,914.71, 560,148.51 and 224,634.28

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Solution

The fourth proportional to 405,914.71, 560,148.51 and 224,634.28 is: 309,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,914.71 : 560,148.51 = 224,634.28 : x
  2. Step 2: Convert to fraction form
    405,914.71/560,148.51 = 224,634.28/x
  3. Step 3: Cross multiply
    405,914.71x = 560,148.51 × 224,634.28
  4. Step 4: Simplify right side
    405,914.71x = 125,828,557,729.21
  5. Step 5: Solve for x
    x = 125,828,557,729.21/405,914.71
  6. Step 6: Final answer
    x = 309,987.68

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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.