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Finding the Fourth Proportional to 409,729.80, 614,940.30 and 199,547.40

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Solution

The fourth proportional to 409,729.80, 614,940.30 and 199,547.40 is: 299,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,729.80 : 614,940.30 = 199,547.40 : x
  2. Step 2: Convert to fraction form
    409,729.80/614,940.30 = 199,547.40/x
  3. Step 3: Cross multiply
    409,729.80x = 614,940.30 × 199,547.40
  4. Step 4: Simplify right side
    409,729.80x = 122,709,738,020.22
  5. Step 5: Solve for x
    x = 122,709,738,020.22/409,729.80
  6. Step 6: Final answer
    x = 299,489.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.