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Finding the Fourth Proportional to 370,478.45, 511,262.72 and 200,712.58

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Solution

The fourth proportional to 370,478.45, 511,262.72 and 200,712.58 is: 276,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,478.45 : 511,262.72 = 200,712.58 : x
  2. Step 2: Convert to fraction form
    370,478.45/511,262.72 = 200,712.58/x
  3. Step 3: Cross multiply
    370,478.45x = 511,262.72 × 200,712.58
  4. Step 4: Simplify right side
    370,478.45x = 102,616,858,812.64
  5. Step 5: Solve for x
    x = 102,616,858,812.64/370,478.45
  6. Step 6: Final answer
    x = 276,984.69

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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.