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Finding the Fourth Proportional to 370,602.36, 511,431.21 and 200,836.50

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Solution

The fourth proportional to 370,602.36, 511,431.21 and 200,836.50 is: 277,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,602.36 : 511,431.21 = 200,836.50 : x
  2. Step 2: Convert to fraction form
    370,602.36/511,431.21 = 200,836.50/x
  3. Step 3: Cross multiply
    370,602.36x = 511,431.21 × 200,836.50
  4. Step 4: Simplify right side
    370,602.36x = 102,714,054,207.17
  5. Step 5: Solve for x
    x = 102,714,054,207.17/370,602.36
  6. Step 6: Final answer
    x = 277,154.34

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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.