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Finding the Fourth Proportional to 565,731.69, 780,709.74 and 311,082.88

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Solution

The fourth proportional to 565,731.69, 780,709.74 and 311,082.88 is: 429,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,731.69 : 780,709.74 = 311,082.88 : x
  2. Step 2: Convert to fraction form
    565,731.69/780,709.74 = 311,082.88/x
  3. Step 3: Cross multiply
    565,731.69x = 780,709.74 × 311,082.88
  4. Step 4: Simplify right side
    565,731.69x = 242,865,434,458.59
  5. Step 5: Solve for x
    x = 242,865,434,458.59/565,731.69
  6. Step 6: Final answer
    x = 429,294.38

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1.5x scale

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.