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Finding the Fourth Proportional to 665,023,673.70, 997,535,510.55 and 420,135,660.90

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Solution

The fourth proportional to 665,023,673.70, 997,535,510.55 and 420,135,660.90 is: 630,203,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,023,673.70 : 997,535,510.55 = 420,135,660.90 : x
  2. Step 2: Convert to fraction form
    665,023,673.70/997,535,510.55 = 420,135,660.90/x
  3. Step 3: Cross multiply
    665,023,673.70x = 997,535,510.55 × 420,135,660.90
  4. Step 4: Simplify right side
    665,023,673.70x = 419,100,240,996,143,104
  5. Step 5: Solve for x
    x = 419,100,240,996,143,104/665,023,673.70
  6. Step 6: Final answer
    x = 630,203,491.35

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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.