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Finding the Fourth Proportional to 822,339, 1,233,689.94 and 349,428.60

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Solution

The fourth proportional to 822,339, 1,233,689.94 and 349,428.60 is: 524,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,339 : 1,233,689.94 = 349,428.60 : x
  2. Step 2: Convert to fraction form
    822,339/1,233,689.94 = 349,428.60/x
  3. Step 3: Cross multiply
    822,339x = 1,233,689.94 × 349,428.60
  4. Step 4: Simplify right side
    822,339x = 431,086,548,568.28
  5. Step 5: Solve for x
    x = 431,086,548,568.28/822,339
  6. Step 6: Final answer
    x = 524,220.00

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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.