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Finding the Fourth Proportional to 370,587.54, 511,411.46 and 200,821.66

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Solution

The fourth proportional to 370,587.54, 511,411.46 and 200,821.66 is: 277,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,587.54 : 511,411.46 = 200,821.66 : x
  2. Step 2: Convert to fraction form
    370,587.54/511,411.46 = 200,821.66/x
  3. Step 3: Cross multiply
    370,587.54x = 511,411.46 × 200,821.66
  4. Step 4: Simplify right side
    370,587.54x = 102,702,498,340.22
  5. Step 5: Solve for x
    x = 102,702,498,340.22/370,587.54
  6. Step 6: Final answer
    x = 277,134.25

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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.