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Finding the Fourth Proportional to 565,236.68, 780,045.78 and 310,597

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Solution

The fourth proportional to 565,236.68, 780,045.78 and 310,597 is: 428,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,236.68 : 780,045.78 = 310,597 : x
  2. Step 2: Convert to fraction form
    565,236.68/780,045.78 = 310,597/x
  3. Step 3: Cross multiply
    565,236.68x = 780,045.78 × 310,597
  4. Step 4: Simplify right side
    565,236.68x = 242,279,879,130.66
  5. Step 5: Solve for x
    x = 242,279,879,130.66/565,236.68
  6. Step 6: Final answer
    x = 428,634.39

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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.