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Finding the Fourth Proportional to 712,689,948.56, 983,550,676.38 and 399,524,758.04

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Solution

The fourth proportional to 712,689,948.56, 983,550,676.38 and 399,524,758.04 is: 551,365,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,689,948.56 : 983,550,676.38 = 399,524,758.04 : x
  2. Step 2: Convert to fraction form
    712,689,948.56/983,550,676.38 = 399,524,758.04/x
  3. Step 3: Cross multiply
    712,689,948.56x = 983,550,676.38 × 399,524,758.04
  4. Step 4: Simplify right side
    712,689,948.56x = 392,952,846,000,797,888
  5. Step 5: Solve for x
    x = 392,952,846,000,797,888/712,689,948.56
  6. Step 6: Final answer
    x = 551,365,775.25

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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.