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Finding the Fourth Proportional to 469,708.50, 648,178.82 and 254,840.34

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Solution

The fourth proportional to 469,708.50, 648,178.82 and 254,840.34 is: 351,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,708.50 : 648,178.82 = 254,840.34 : x
  2. Step 2: Convert to fraction form
    469,708.50/648,178.82 = 254,840.34/x
  3. Step 3: Cross multiply
    469,708.50x = 648,178.82 × 254,840.34
  4. Step 4: Simplify right side
    469,708.50x = 165,182,110,869.60
  5. Step 5: Solve for x
    x = 165,182,110,869.60/469,708.50
  6. Step 6: Final answer
    x = 351,669.41

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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.