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Finding the Fourth Proportional to 405,209.79, 559,161.54 and 223,920

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Solution

The fourth proportional to 405,209.79, 559,161.54 and 223,920 is: 308,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,209.79 : 559,161.54 = 223,920 : x
  2. Step 2: Convert to fraction form
    405,209.79/559,161.54 = 223,920/x
  3. Step 3: Cross multiply
    405,209.79x = 559,161.54 × 223,920
  4. Step 4: Simplify right side
    405,209.79x = 125,207,452,036.80
  5. Step 5: Solve for x
    x = 125,207,452,036.80/405,209.79
  6. Step 6: Final answer
    x = 308,994.14

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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.