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Finding the Fourth Proportional to 342,580.48, 513,317.76 and 210,976

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Solution

The fourth proportional to 342,580.48, 513,317.76 and 210,976 is: 316,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,580.48 : 513,317.76 = 210,976 : x
  2. Step 2: Convert to fraction form
    342,580.48/513,317.76 = 210,976/x
  3. Step 3: Cross multiply
    342,580.48x = 513,317.76 × 210,976
  4. Step 4: Simplify right side
    342,580.48x = 108,297,727,733.76
  5. Step 5: Solve for x
    x = 108,297,727,733.76/342,580.48
  6. Step 6: Final answer
    x = 316,123.46

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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.