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Finding the Fourth Proportional to 685,533.16, 946,035.16 and 379,609.53

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Solution

The fourth proportional to 685,533.16, 946,035.16 and 379,609.53 is: 523,860.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,533.16 : 946,035.16 = 379,609.53 : x
  2. Step 2: Convert to fraction form
    685,533.16/946,035.16 = 379,609.53/x
  3. Step 3: Cross multiply
    685,533.16x = 946,035.16 × 379,609.53
  4. Step 4: Simplify right side
    685,533.16x = 359,123,962,451.08
  5. Step 5: Solve for x
    x = 359,123,962,451.08/685,533.16
  6. Step 6: Final answer
    x = 523,860.82

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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.