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Finding the Fourth Proportional to 685,689,073, 1,028,806,123.74 and 219,422,331.88

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Solution

The fourth proportional to 685,689,073, 1,028,806,123.74 and 219,422,331.88 is: 329,220,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,689,073 : 1,028,806,123.74 = 219,422,331.88 : x
  2. Step 2: Convert to fraction form
    685,689,073/1,028,806,123.74 = 219,422,331.88/x
  3. Step 3: Cross multiply
    685,689,073x = 1,028,806,123.74 × 219,422,331.88
  4. Step 4: Simplify right side
    685,689,073x = 225,743,038,723,454,624
  5. Step 5: Solve for x
    x = 225,743,038,723,454,624/685,689,073
  6. Step 6: Final answer
    x = 329,220,703.10

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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.