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Finding the Fourth Proportional to 457,602.21, 686,359.58 and 280,017.81

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Solution

The fourth proportional to 457,602.21, 686,359.58 and 280,017.81 is: 419,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,602.21 : 686,359.58 = 280,017.81 : x
  2. Step 2: Convert to fraction form
    457,602.21/686,359.58 = 280,017.81/x
  3. Step 3: Cross multiply
    457,602.21x = 686,359.58 × 280,017.81
  4. Step 4: Simplify right side
    457,602.21x = 192,192,905,064.03
  5. Step 5: Solve for x
    x = 192,192,905,064.03/457,602.21
  6. Step 6: Final answer
    x = 419,999.95

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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.