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Finding the Fourth Proportional to 370,202.56, 510,877.20 and 200,436.16

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Solution

The fourth proportional to 370,202.56, 510,877.20 and 200,436.16 is: 276,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,202.56 : 510,877.20 = 200,436.16 : x
  2. Step 2: Convert to fraction form
    370,202.56/510,877.20 = 200,436.16/x
  3. Step 3: Cross multiply
    370,202.56x = 510,877.20 × 200,436.16
  4. Step 4: Simplify right side
    370,202.56x = 102,398,264,199.55
  5. Step 5: Solve for x
    x = 102,398,264,199.55/370,202.56
  6. Step 6: Final answer
    x = 276,600.64

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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.