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Finding the Fourth Proportional to 821,231.40, 1,230,695.10 and 653,039.40

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Solution

The fourth proportional to 821,231.40, 1,230,695.10 and 653,039.40 is: 978,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,231.40 : 1,230,695.10 = 653,039.40 : x
  2. Step 2: Convert to fraction form
    821,231.40/1,230,695.10 = 653,039.40/x
  3. Step 3: Cross multiply
    821,231.40x = 1,230,695.10 × 653,039.40
  4. Step 4: Simplify right side
    821,231.40x = 803,692,389,686.94
  5. Step 5: Solve for x
    x = 803,692,389,686.94/821,231.40
  6. Step 6: Final answer
    x = 978,643.03

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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.