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Finding the Fourth Proportional to 451,874, 677,811 and 156,386

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Solution

The fourth proportional to 451,874, 677,811 and 156,386 is: 234,579

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,874 : 677,811 = 156,386 : x
  2. Step 2: Convert to fraction form
    451,874/677,811 = 156,386/x
  3. Step 3: Cross multiply
    451,874x = 677,811 × 156,386
  4. Step 4: Simplify right side
    451,874x = 106,000,151,046
  5. Step 5: Solve for x
    x = 106,000,151,046/451,874
  6. Step 6: Final answer
    x = 234,579

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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.