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Finding the Fourth Proportional to 315,819.72, 435,812.85 and 172,580.94

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Solution

The fourth proportional to 315,819.72, 435,812.85 and 172,580.94 is: 238,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,819.72 : 435,812.85 = 172,580.94 : x
  2. Step 2: Convert to fraction form
    315,819.72/435,812.85 = 172,580.94/x
  3. Step 3: Cross multiply
    315,819.72x = 435,812.85 × 172,580.94
  4. Step 4: Simplify right side
    315,819.72x = 75,212,991,317.08
  5. Step 5: Solve for x
    x = 75,212,991,317.08/315,819.72
  6. Step 6: Final answer
    x = 238,151.66

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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.