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Finding the Fourth Proportional to 411,276.80, 616,915.20 and 317,964.80

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Solution

The fourth proportional to 411,276.80, 616,915.20 and 317,964.80 is: 476,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,276.80 : 616,915.20 = 317,964.80 : x
  2. Step 2: Convert to fraction form
    411,276.80/616,915.20 = 317,964.80/x
  3. Step 3: Cross multiply
    411,276.80x = 616,915.20 × 317,964.80
  4. Step 4: Simplify right side
    411,276.80x = 196,157,318,184.96
  5. Step 5: Solve for x
    x = 196,157,318,184.96/411,276.80
  6. Step 6: Final answer
    x = 476,947.20

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1.5x scale

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.