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Finding the Fourth Proportional to 821,561, 1,230,328.70 and 678,531.08

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Solution

The fourth proportional to 821,561, 1,230,328.70 and 678,531.08 is: 1,016,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,561 : 1,230,328.70 = 678,531.08 : x
  2. Step 2: Convert to fraction form
    821,561/1,230,328.70 = 678,531.08/x
  3. Step 3: Cross multiply
    821,561x = 1,230,328.70 × 678,531.08
  4. Step 4: Simplify right side
    821,561x = 834,816,261,566.00
  5. Step 5: Solve for x
    x = 834,816,261,566.00/821,561
  6. Step 6: Final answer
    x = 1,016,134.24

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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.