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Finding the Fourth Proportional to 491,265.84, 677,953.10 and 276,406.32

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Solution

The fourth proportional to 491,265.84, 677,953.10 and 276,406.32 is: 381,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,265.84 : 677,953.10 = 276,406.32 : x
  2. Step 2: Convert to fraction form
    491,265.84/677,953.10 = 276,406.32/x
  3. Step 3: Cross multiply
    491,265.84x = 677,953.10 × 276,406.32
  4. Step 4: Simplify right side
    491,265.84x = 187,390,521,503.59
  5. Step 5: Solve for x
    x = 187,390,521,503.59/491,265.84
  6. Step 6: Final answer
    x = 381,444.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.