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Finding the Fourth Proportional to 565,642.84, 780,584.70 and 311,007.64

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Solution

The fourth proportional to 565,642.84, 780,584.70 and 311,007.64 is: 429,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,642.84 : 780,584.70 = 311,007.64 : x
  2. Step 2: Convert to fraction form
    565,642.84/780,584.70 = 311,007.64/x
  3. Step 3: Cross multiply
    565,642.84x = 780,584.70 × 311,007.64
  4. Step 4: Simplify right side
    565,642.84x = 242,767,805,367.11
  5. Step 5: Solve for x
    x = 242,767,805,367.11/565,642.84
  6. Step 6: Final answer
    x = 429,189.21

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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.