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Finding the Fourth Proportional to 370,594.36, 511,420.19 and 200,828.49

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Solution

The fourth proportional to 370,594.36, 511,420.19 and 200,828.49 is: 277,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,594.36 : 511,420.19 = 200,828.49 : x
  2. Step 2: Convert to fraction form
    370,594.36/511,420.19 = 200,828.49/x
  3. Step 3: Cross multiply
    370,594.36x = 511,420.19 × 200,828.49
  4. Step 4: Simplify right side
    370,594.36x = 102,707,744,513.21
  5. Step 5: Solve for x
    x = 102,707,744,513.21/370,594.36
  6. Step 6: Final answer
    x = 277,143.30

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1.5x scale

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.