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Finding the Fourth Proportional to 647,551.64, 971,257.80 and 174,284.84

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Solution

The fourth proportional to 647,551.64, 971,257.80 and 174,284.84 is: 261,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,551.64 : 971,257.80 = 174,284.84 : x
  2. Step 2: Convert to fraction form
    647,551.64/971,257.80 = 174,284.84/x
  3. Step 3: Cross multiply
    647,551.64x = 971,257.80 × 174,284.84
  4. Step 4: Simplify right side
    647,551.64x = 169,275,510,271.75
  5. Step 5: Solve for x
    x = 169,275,510,271.75/647,551.64
  6. Step 6: Final answer
    x = 261,408.51

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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.