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Finding the Fourth Proportional to 370,720.92, 511,598.52 and 200,954.64

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Solution

The fourth proportional to 370,720.92, 511,598.52 and 200,954.64 is: 277,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,720.92 : 511,598.52 = 200,954.64 : x
  2. Step 2: Convert to fraction form
    370,720.92/511,598.52 = 200,954.64/x
  3. Step 3: Cross multiply
    370,720.92x = 511,598.52 × 200,954.64
  4. Step 4: Simplify right side
    370,720.92x = 102,808,096,411.13
  5. Step 5: Solve for x
    x = 102,808,096,411.13/370,720.92
  6. Step 6: Final answer
    x = 277,319.38

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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.