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Finding the Fourth Proportional to 491,507.64, 678,278.88 and 276,647.58

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Solution

The fourth proportional to 491,507.64, 678,278.88 and 276,647.58 is: 381,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,507.64 : 678,278.88 = 276,647.58 : x
  2. Step 2: Convert to fraction form
    491,507.64/678,278.88 = 276,647.58/x
  3. Step 3: Cross multiply
    491,507.64x = 678,278.88 × 276,647.58
  4. Step 4: Simplify right side
    491,507.64x = 187,644,210,717.11
  5. Step 5: Solve for x
    x = 187,644,210,717.11/491,507.64
  6. Step 6: Final answer
    x = 381,772.72

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1.5x scale

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.