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Finding the Fourth Proportional to 821,693.30, 1,230,207.15 and 821,693.30

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Solution

The fourth proportional to 821,693.30, 1,230,207.15 and 821,693.30 is: 1,230,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,693.30 : 1,230,207.15 = 821,693.30 : x
  2. Step 2: Convert to fraction form
    821,693.30/1,230,207.15 = 821,693.30/x
  3. Step 3: Cross multiply
    821,693.30x = 1,230,207.15 × 821,693.30
  4. Step 4: Simplify right side
    821,693.30x = 1,010,852,972,767.10
  5. Step 5: Solve for x
    x = 1,010,852,972,767.10/821,693.30
  6. Step 6: Final answer
    x = 1,230,207.15

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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.