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Finding the Fourth Proportional to 405,870.27, 560,062.84 and 274,781.27

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Solution

The fourth proportional to 405,870.27, 560,062.84 and 274,781.27 is: 379,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,870.27 : 560,062.84 = 274,781.27 : x
  2. Step 2: Convert to fraction form
    405,870.27/560,062.84 = 274,781.27/x
  3. Step 3: Cross multiply
    405,870.27x = 560,062.84 × 274,781.27
  4. Step 4: Simplify right side
    405,870.27x = 153,894,778,455.01
  5. Step 5: Solve for x
    x = 153,894,778,455.01/405,870.27
  6. Step 6: Final answer
    x = 379,172.34

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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.