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Finding the Fourth Proportional to 379,424.64, 569,479.68 and 202,080

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Solution

The fourth proportional to 379,424.64, 569,479.68 and 202,080 is: 303,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,424.64 : 569,479.68 = 202,080 : x
  2. Step 2: Convert to fraction form
    379,424.64/569,479.68 = 202,080/x
  3. Step 3: Cross multiply
    379,424.64x = 569,479.68 × 202,080
  4. Step 4: Simplify right side
    379,424.64x = 115,080,453,734.40
  5. Step 5: Solve for x
    x = 115,080,453,734.40/379,424.64
  6. Step 6: Final answer
    x = 303,302.53

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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.