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Finding the Fourth Proportional to 315,961.20, 473,020.20 and 282,783.60

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Solution

The fourth proportional to 315,961.20, 473,020.20 and 282,783.60 is: 423,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,961.20 : 473,020.20 = 282,783.60 : x
  2. Step 2: Convert to fraction form
    315,961.20/473,020.20 = 282,783.60/x
  3. Step 3: Cross multiply
    315,961.20x = 473,020.20 × 282,783.60
  4. Step 4: Simplify right side
    315,961.20x = 133,762,355,028.72
  5. Step 5: Solve for x
    x = 133,762,355,028.72/315,961.20
  6. Step 6: Final answer
    x = 423,350.57

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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.