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Finding the Fourth Proportional to 565,315.59, 847,868.79 and 257,494.98

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Solution

The fourth proportional to 565,315.59, 847,868.79 and 257,494.98 is: 386,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,315.59 : 847,868.79 = 257,494.98 : x
  2. Step 2: Convert to fraction form
    565,315.59/847,868.79 = 257,494.98/x
  3. Step 3: Cross multiply
    565,315.59x = 847,868.79 × 257,494.98
  4. Step 4: Simplify right side
    565,315.59x = 218,321,957,123.67
  5. Step 5: Solve for x
    x = 218,321,957,123.67/565,315.59
  6. Step 6: Final answer
    x = 386,194.83

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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.