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Finding the Fourth Proportional to 820,200.30, 1,149,461.40 and 820,200.30

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Solution

The fourth proportional to 820,200.30, 1,149,461.40 and 820,200.30 is: 1,149,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,200.30 : 1,149,461.40 = 820,200.30 : x
  2. Step 2: Convert to fraction form
    820,200.30/1,149,461.40 = 820,200.30/x
  3. Step 3: Cross multiply
    820,200.30x = 1,149,461.40 × 820,200.30
  4. Step 4: Simplify right side
    820,200.30x = 942,788,585,118.42
  5. Step 5: Solve for x
    x = 942,788,585,118.42/820,200.30
  6. Step 6: Final answer
    x = 1,149,461.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.