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Finding the Fourth Proportional to 665,431.10, 996,834.45 and 398,398.40

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Solution

The fourth proportional to 665,431.10, 996,834.45 and 398,398.40 is: 596,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,431.10 : 996,834.45 = 398,398.40 : x
  2. Step 2: Convert to fraction form
    665,431.10/996,834.45 = 398,398.40/x
  3. Step 3: Cross multiply
    665,431.10x = 996,834.45 × 398,398.40
  4. Step 4: Simplify right side
    665,431.10x = 397,137,249,944.88
  5. Step 5: Solve for x
    x = 397,137,249,944.88/665,431.10
  6. Step 6: Final answer
    x = 596,811.98

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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.