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Finding the Fourth Proportional to 370,507.89, 511,300.95 and 200,742.02

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Solution

The fourth proportional to 370,507.89, 511,300.95 and 200,742.02 is: 277,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,507.89 : 511,300.95 = 200,742.02 : x
  2. Step 2: Convert to fraction form
    370,507.89/511,300.95 = 200,742.02/x
  3. Step 3: Cross multiply
    370,507.89x = 511,300.95 × 200,742.02
  4. Step 4: Simplify right side
    370,507.89x = 102,639,584,389.94
  5. Step 5: Solve for x
    x = 102,639,584,389.94/370,507.89
  6. Step 6: Final answer
    x = 277,024.02

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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.