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Finding the Fourth Proportional to 647,928.80, 971,893.20 and 310,912.10

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Solution

The fourth proportional to 647,928.80, 971,893.20 and 310,912.10 is: 466,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,928.80 : 971,893.20 = 310,912.10 : x
  2. Step 2: Convert to fraction form
    647,928.80/971,893.20 = 310,912.10/x
  3. Step 3: Cross multiply
    647,928.80x = 971,893.20 × 310,912.10
  4. Step 4: Simplify right side
    647,928.80x = 302,173,355,787.72
  5. Step 5: Solve for x
    x = 302,173,355,787.72/647,928.80
  6. Step 6: Final answer
    x = 466,368.15

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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.