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Finding the Fourth Proportional to 370,487.96, 511,275.50 and 200,722.10

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Solution

The fourth proportional to 370,487.96, 511,275.50 and 200,722.10 is: 276,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,487.96 : 511,275.50 = 200,722.10 : x
  2. Step 2: Convert to fraction form
    370,487.96/511,275.50 = 200,722.10/x
  3. Step 3: Cross multiply
    370,487.96x = 511,275.50 × 200,722.10
  4. Step 4: Simplify right side
    370,487.96x = 102,624,292,038.55
  5. Step 5: Solve for x
    x = 102,624,292,038.55/370,487.96
  6. Step 6: Final answer
    x = 276,997.64

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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.