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Finding the Fourth Proportional to 665,443.10, 996,852.45 and 398,410.40

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Solution

The fourth proportional to 665,443.10, 996,852.45 and 398,410.40 is: 596,829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,443.10 : 996,852.45 = 398,410.40 : x
  2. Step 2: Convert to fraction form
    665,443.10/996,852.45 = 398,410.40/x
  3. Step 3: Cross multiply
    665,443.10x = 996,852.45 × 398,410.40
  4. Step 4: Simplify right side
    665,443.10x = 397,156,383,345.48
  5. Step 5: Solve for x
    x = 397,156,383,345.48/665,443.10
  6. Step 6: Final answer
    x = 596,829.97

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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.