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Finding the Fourth Proportional to 633,502.78, 874,234.08 and 347,033.20

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Solution

The fourth proportional to 633,502.78, 874,234.08 and 347,033.20 is: 478,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,502.78 : 874,234.08 = 347,033.20 : x
  2. Step 2: Convert to fraction form
    633,502.78/874,234.08 = 347,033.20/x
  3. Step 3: Cross multiply
    633,502.78x = 874,234.08 × 347,033.20
  4. Step 4: Simplify right side
    633,502.78x = 303,388,250,331.46
  5. Step 5: Solve for x
    x = 303,388,250,331.46/633,502.78
  6. Step 6: Final answer
    x = 478,905.95

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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.