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Finding the Fourth Proportional to 647,922.30, 971,883.45 and 310,905.60

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Solution

The fourth proportional to 647,922.30, 971,883.45 and 310,905.60 is: 466,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,922.30 : 971,883.45 = 310,905.60 : x
  2. Step 2: Convert to fraction form
    647,922.30/971,883.45 = 310,905.60/x
  3. Step 3: Cross multiply
    647,922.30x = 971,883.45 × 310,905.60
  4. Step 4: Simplify right side
    647,922.30x = 302,164,007,152.32
  5. Step 5: Solve for x
    x = 302,164,007,152.32/647,922.30
  6. Step 6: Final answer
    x = 466,358.40

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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.