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Finding the Fourth Proportional to 565,713.36, 780,688.80 and 311,068.80

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Solution

The fourth proportional to 565,713.36, 780,688.80 and 311,068.80 is: 429,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,713.36 : 780,688.80 = 311,068.80 : x
  2. Step 2: Convert to fraction form
    565,713.36/780,688.80 = 311,068.80/x
  3. Step 3: Cross multiply
    565,713.36x = 780,688.80 × 311,068.80
  4. Step 4: Simplify right side
    565,713.36x = 242,847,928,189.44
  5. Step 5: Solve for x
    x = 242,847,928,189.44/565,713.36
  6. Step 6: Final answer
    x = 429,277.34

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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.