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Finding the Fourth Proportional to 370,490, 511,276.68 and 200,724.11

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Solution

The fourth proportional to 370,490, 511,276.68 and 200,724.11 is: 276,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,490 : 511,276.68 = 200,724.11 : x
  2. Step 2: Convert to fraction form
    370,490/511,276.68 = 200,724.11/x
  3. Step 3: Cross multiply
    370,490x = 511,276.68 × 200,724.11
  4. Step 4: Simplify right side
    370,490x = 102,625,556,556.76
  5. Step 5: Solve for x
    x = 102,625,556,556.76/370,490
  6. Step 6: Final answer
    x = 276,999.53

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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.