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Finding the Fourth Proportional to 315,775.14, 436,060.71 and 202,794.72

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Solution

The fourth proportional to 315,775.14, 436,060.71 and 202,794.72 is: 280,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,775.14 : 436,060.71 = 202,794.72 : x
  2. Step 2: Convert to fraction form
    315,775.14/436,060.71 = 202,794.72/x
  3. Step 3: Cross multiply
    315,775.14x = 436,060.71 × 202,794.72
  4. Step 4: Simplify right side
    315,775.14x = 88,430,809,587.45
  5. Step 5: Solve for x
    x = 88,430,809,587.45/315,775.14
  6. Step 6: Final answer
    x = 280,043.61

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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.