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Finding the Fourth Proportional to 519,969.30, 780,063.30 and 295,145.70

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Solution

The fourth proportional to 519,969.30, 780,063.30 and 295,145.70 is: 442,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,969.30 : 780,063.30 = 295,145.70 : x
  2. Step 2: Convert to fraction form
    519,969.30/780,063.30 = 295,145.70/x
  3. Step 3: Cross multiply
    519,969.30x = 780,063.30 × 295,145.70
  4. Step 4: Simplify right side
    519,969.30x = 230,232,328,722.81
  5. Step 5: Solve for x
    x = 230,232,328,722.81/519,969.30
  6. Step 6: Final answer
    x = 442,780.62

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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.