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Finding the Fourth Proportional to 491,510.57, 678,284.42 and 276,651.77

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Solution

The fourth proportional to 491,510.57, 678,284.42 and 276,651.77 is: 381,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,510.57 : 678,284.42 = 276,651.77 : x
  2. Step 2: Convert to fraction form
    491,510.57/678,284.42 = 276,651.77/x
  3. Step 3: Cross multiply
    491,510.57x = 678,284.42 × 276,651.77
  4. Step 4: Simplify right side
    491,510.57x = 187,648,580,581.74
  5. Step 5: Solve for x
    x = 187,648,580,581.74/491,510.57
  6. Step 6: Final answer
    x = 381,779.34

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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.