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Finding the Fourth Proportional to 647,902.30, 971,853.45 and 310,885.60

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Solution

The fourth proportional to 647,902.30, 971,853.45 and 310,885.60 is: 466,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,902.30 : 971,853.45 = 310,885.60 : x
  2. Step 2: Convert to fraction form
    647,902.30/971,853.45 = 310,885.60/x
  3. Step 3: Cross multiply
    647,902.30x = 971,853.45 × 310,885.60
  4. Step 4: Simplify right side
    647,902.30x = 302,135,242,915.32
  5. Step 5: Solve for x
    x = 302,135,242,915.32/647,902.30
  6. Step 6: Final answer
    x = 466,328.40

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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.