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Finding the Fourth Proportional to 523,327.80, 785,337.30 and 298,687.80

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Solution

The fourth proportional to 523,327.80, 785,337.30 and 298,687.80 is: 448,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,327.80 : 785,337.30 = 298,687.80 : x
  2. Step 2: Convert to fraction form
    523,327.80/785,337.30 = 298,687.80/x
  3. Step 3: Cross multiply
    523,327.80x = 785,337.30 × 298,687.80
  4. Step 4: Simplify right side
    523,327.80x = 234,570,670,394.94
  5. Step 5: Solve for x
    x = 234,570,670,394.94/523,327.80
  6. Step 6: Final answer
    x = 448,228.95

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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.