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Finding the Fourth Proportional to 874,460.84, 1,206,842.04 and 511,862.72

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Solution

The fourth proportional to 874,460.84, 1,206,842.04 and 511,862.72 is: 706,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,460.84 : 1,206,842.04 = 511,862.72 : x
  2. Step 2: Convert to fraction form
    874,460.84/1,206,842.04 = 511,862.72/x
  3. Step 3: Cross multiply
    874,460.84x = 1,206,842.04 × 511,862.72
  4. Step 4: Simplify right side
    874,460.84x = 617,737,443,170.54
  5. Step 5: Solve for x
    x = 617,737,443,170.54/874,460.84
  6. Step 6: Final answer
    x = 706,420.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.