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Finding the Fourth Proportional to 565,655.68, 780,597.84 and 311,004.64

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Solution

The fourth proportional to 565,655.68, 780,597.84 and 311,004.64 is: 429,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,655.68 : 780,597.84 = 311,004.64 : x
  2. Step 2: Convert to fraction form
    565,655.68/780,597.84 = 311,004.64/x
  3. Step 3: Cross multiply
    565,655.68x = 780,597.84 × 311,004.64
  4. Step 4: Simplify right side
    565,655.68x = 242,769,550,213.98
  5. Step 5: Solve for x
    x = 242,769,550,213.98/565,655.68
  6. Step 6: Final answer
    x = 429,182.56

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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.