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Finding the Fourth Proportional to 457,603.71, 686,361.83 and 280,019.31

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Solution

The fourth proportional to 457,603.71, 686,361.83 and 280,019.31 is: 420,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,603.71 : 686,361.83 = 280,019.31 : x
  2. Step 2: Convert to fraction form
    457,603.71/686,361.83 = 280,019.31/x
  3. Step 3: Cross multiply
    457,603.71x = 686,361.83 × 280,019.31
  4. Step 4: Simplify right side
    457,603.71x = 192,194,564,646.84
  5. Step 5: Solve for x
    x = 192,194,564,646.84/457,603.71
  6. Step 6: Final answer
    x = 420,002.20

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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.