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Finding the Fourth Proportional to 315,788.42, 436,078.98 and 202,808

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Solution

The fourth proportional to 315,788.42, 436,078.98 and 202,808 is: 280,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,788.42 : 436,078.98 = 202,808 : x
  2. Step 2: Convert to fraction form
    315,788.42/436,078.98 = 202,808/x
  3. Step 3: Cross multiply
    315,788.42x = 436,078.98 × 202,808
  4. Step 4: Simplify right side
    315,788.42x = 88,440,305,775.84
  5. Step 5: Solve for x
    x = 88,440,305,775.84/315,788.42
  6. Step 6: Final answer
    x = 280,061.90

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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.