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Finding the Fourth Proportional to 457,601.60, 686,596.80 and 220,822.40

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Solution

The fourth proportional to 457,601.60, 686,596.80 and 220,822.40 is: 331,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,601.60 : 686,596.80 = 220,822.40 : x
  2. Step 2: Convert to fraction form
    457,601.60/686,596.80 = 220,822.40/x
  3. Step 3: Cross multiply
    457,601.60x = 686,596.80 × 220,822.40
  4. Step 4: Simplify right side
    457,601.60x = 151,615,953,208.32
  5. Step 5: Solve for x
    x = 151,615,953,208.32/457,601.60
  6. Step 6: Final answer
    x = 331,327.41

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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.