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Finding the Fourth Proportional to 742,116.75, 1,024,121.43 and 419,820

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Solution

The fourth proportional to 742,116.75, 1,024,121.43 and 419,820 is: 579,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,116.75 : 1,024,121.43 = 419,820 : x
  2. Step 2: Convert to fraction form
    742,116.75/1,024,121.43 = 419,820/x
  3. Step 3: Cross multiply
    742,116.75x = 1,024,121.43 × 419,820
  4. Step 4: Simplify right side
    742,116.75x = 429,946,658,742.60
  5. Step 5: Solve for x
    x = 429,946,658,742.60/742,116.75
  6. Step 6: Final answer
    x = 579,351.78

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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.