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Finding the Fourth Proportional to 565,661.68, 780,606.12 and 311,010.64

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Solution

The fourth proportional to 565,661.68, 780,606.12 and 311,010.64 is: 429,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,661.68 : 780,606.12 = 311,010.64 : x
  2. Step 2: Convert to fraction form
    565,661.68/780,606.12 = 311,010.64/x
  3. Step 3: Cross multiply
    565,661.68x = 780,606.12 × 311,010.64
  4. Step 4: Simplify right side
    565,661.68x = 242,776,808,969.12
  5. Step 5: Solve for x
    x = 242,776,808,969.12/565,661.68
  6. Step 6: Final answer
    x = 429,190.84

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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.