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Finding the Fourth Proportional to 565,696.32, 780,663.84 and 311,064

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Solution

The fourth proportional to 565,696.32, 780,663.84 and 311,064 is: 429,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,696.32 : 780,663.84 = 311,064 : x
  2. Step 2: Convert to fraction form
    565,696.32/780,663.84 = 311,064/x
  3. Step 3: Cross multiply
    565,696.32x = 780,663.84 × 311,064
  4. Step 4: Simplify right side
    565,696.32x = 242,836,416,725.76
  5. Step 5: Solve for x
    x = 242,836,416,725.76/565,696.32
  6. Step 6: Final answer
    x = 429,269.92

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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.