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Finding the Fourth Proportional to 565,672.34, 780,630.72 and 311,039.90

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Solution

The fourth proportional to 565,672.34, 780,630.72 and 311,039.90 is: 429,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,672.34 : 780,630.72 = 311,039.90 : x
  2. Step 2: Convert to fraction form
    565,672.34/780,630.72 = 311,039.90/x
  3. Step 3: Cross multiply
    565,672.34x = 780,630.72 × 311,039.90
  4. Step 4: Simplify right side
    565,672.34x = 242,807,301,085.73
  5. Step 5: Solve for x
    x = 242,807,301,085.73/565,672.34
  6. Step 6: Final answer
    x = 429,236.65

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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.