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Finding the Fourth Proportional to 379,475.40, 569,869.20 and 202,328.40

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Solution

The fourth proportional to 379,475.40, 569,869.20 and 202,328.40 is: 303,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,475.40 : 569,869.20 = 202,328.40 : x
  2. Step 2: Convert to fraction form
    379,475.40/569,869.20 = 202,328.40/x
  3. Step 3: Cross multiply
    379,475.40x = 569,869.20 × 202,328.40
  4. Step 4: Simplify right side
    379,475.40x = 115,300,723,445.28
  5. Step 5: Solve for x
    x = 115,300,723,445.28/379,475.40
  6. Step 6: Final answer
    x = 303,842.42

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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.