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Finding the Fourth Proportional to 520,314.54, 780,305.70 and 165,245.50

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Solution

The fourth proportional to 520,314.54, 780,305.70 and 165,245.50 is: 247,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,314.54 : 780,305.70 = 165,245.50 : x
  2. Step 2: Convert to fraction form
    520,314.54/780,305.70 = 165,245.50/x
  3. Step 3: Cross multiply
    520,314.54x = 780,305.70 × 165,245.50
  4. Step 4: Simplify right side
    520,314.54x = 128,942,007,144.40
  5. Step 5: Solve for x
    x = 128,942,007,144.40/520,314.54
  6. Step 6: Final answer
    x = 247,815.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.