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Finding the Fourth Proportional to 647,030.10, 969,816.15 and 310,232.10

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Solution

The fourth proportional to 647,030.10, 969,816.15 and 310,232.10 is: 464,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,030.10 : 969,816.15 = 310,232.10 : x
  2. Step 2: Convert to fraction form
    647,030.10/969,816.15 = 310,232.10/x
  3. Step 3: Cross multiply
    647,030.10x = 969,816.15 × 310,232.10
  4. Step 4: Simplify right side
    647,030.10x = 300,868,100,828.42
  5. Step 5: Solve for x
    x = 300,868,100,828.42/647,030.10
  6. Step 6: Final answer
    x = 464,998.62

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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.