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Finding the Fourth Proportional to 402,507.60, 603,927.72 and 202,720.56

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Solution

The fourth proportional to 402,507.60, 603,927.72 and 202,720.56 is: 304,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,507.60 : 603,927.72 = 202,720.56 : x
  2. Step 2: Convert to fraction form
    402,507.60/603,927.72 = 202,720.56/x
  3. Step 3: Cross multiply
    402,507.60x = 603,927.72 × 202,720.56
  4. Step 4: Simplify right side
    402,507.60x = 122,428,565,597.92
  5. Step 5: Solve for x
    x = 122,428,565,597.92/402,507.60
  6. Step 6: Final answer
    x = 304,164.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.