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Finding the Fourth Proportional to 565,492.50, 780,381.27 and 323,778.78

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Solution

The fourth proportional to 565,492.50, 780,381.27 and 323,778.78 is: 446,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,492.50 : 780,381.27 = 323,778.78 : x
  2. Step 2: Convert to fraction form
    565,492.50/780,381.27 = 323,778.78/x
  3. Step 3: Cross multiply
    565,492.50x = 780,381.27 × 323,778.78
  4. Step 4: Simplify right side
    565,492.50x = 252,670,895,535.45
  5. Step 5: Solve for x
    x = 252,670,895,535.45/565,492.50
  6. Step 6: Final answer
    x = 446,815.64

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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.