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Finding the Fourth Proportional to 656,065.20, 984,328.20 and 282,202.80

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Solution

The fourth proportional to 656,065.20, 984,328.20 and 282,202.80 is: 423,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,065.20 : 984,328.20 = 282,202.80 : x
  2. Step 2: Convert to fraction form
    656,065.20/984,328.20 = 282,202.80/x
  3. Step 3: Cross multiply
    656,065.20x = 984,328.20 × 282,202.80
  4. Step 4: Simplify right side
    656,065.20x = 277,780,174,158.96
  5. Step 5: Solve for x
    x = 277,780,174,158.96/656,065.20
  6. Step 6: Final answer
    x = 423,403.31

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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.