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Finding the Fourth Proportional to 315,190, 434,962.20 and 202,012.80

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Solution

The fourth proportional to 315,190, 434,962.20 and 202,012.80 is: 278,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,190 : 434,962.20 = 202,012.80 : x
  2. Step 2: Convert to fraction form
    315,190/434,962.20 = 202,012.80/x
  3. Step 3: Cross multiply
    315,190x = 434,962.20 × 202,012.80
  4. Step 4: Simplify right side
    315,190x = 87,867,931,916.16
  5. Step 5: Solve for x
    x = 87,867,931,916.16/315,190
  6. Step 6: Final answer
    x = 278,777.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.