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Finding the Fourth Proportional to 370,411.52, 511,170.35 and 200,645.64

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Solution

The fourth proportional to 370,411.52, 511,170.35 and 200,645.64 is: 276,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,411.52 : 511,170.35 = 200,645.64 : x
  2. Step 2: Convert to fraction form
    370,411.52/511,170.35 = 200,645.64/x
  3. Step 3: Cross multiply
    370,411.52x = 511,170.35 × 200,645.64
  4. Step 4: Simplify right side
    370,411.52x = 102,564,101,021.55
  5. Step 5: Solve for x
    x = 102,564,101,021.55/370,411.52
  6. Step 6: Final answer
    x = 276,892.31

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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.