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Finding the Fourth Proportional to 565,234.14, 780,022.94 and 310,601.73

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Solution

The fourth proportional to 565,234.14, 780,022.94 and 310,601.73 is: 428,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,234.14 : 780,022.94 = 310,601.73 : x
  2. Step 2: Convert to fraction form
    565,234.14/780,022.94 = 310,601.73/x
  3. Step 3: Cross multiply
    565,234.14x = 780,022.94 × 310,601.73
  4. Step 4: Simplify right side
    565,234.14x = 242,276,473,050.68
  5. Step 5: Solve for x
    x = 242,276,473,050.68/565,234.14
  6. Step 6: Final answer
    x = 428,630.29

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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.