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Finding the Fourth Proportional to 827,374.64, 1,141,709.72 and 464,778.80

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Solution

The fourth proportional to 827,374.64, 1,141,709.72 and 464,778.80 is: 641,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,374.64 : 1,141,709.72 = 464,778.80 : x
  2. Step 2: Convert to fraction form
    827,374.64/1,141,709.72 = 464,778.80/x
  3. Step 3: Cross multiply
    827,374.64x = 1,141,709.72 × 464,778.80
  4. Step 4: Simplify right side
    827,374.64x = 530,642,473,609.94
  5. Step 5: Solve for x
    x = 530,642,473,609.94/827,374.64
  6. Step 6: Final answer
    x = 641,356.95

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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.