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Finding the Fourth Proportional to 379,974, 570,125.16 and 202,430.64

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Solution

The fourth proportional to 379,974, 570,125.16 and 202,430.64 is: 303,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,974 : 570,125.16 = 202,430.64 : x
  2. Step 2: Convert to fraction form
    379,974/570,125.16 = 202,430.64/x
  3. Step 3: Cross multiply
    379,974x = 570,125.16 × 202,430.64
  4. Step 4: Simplify right side
    379,974x = 115,410,801,018.90
  5. Step 5: Solve for x
    x = 115,410,801,018.90/379,974
  6. Step 6: Final answer
    x = 303,733.42

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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.