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Finding the Fourth Proportional to 355,225.54, 490,209.60 and 202,270

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Solution

The fourth proportional to 355,225.54, 490,209.60 and 202,270 is: 279,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,225.54 : 490,209.60 = 202,270 : x
  2. Step 2: Convert to fraction form
    355,225.54/490,209.60 = 202,270/x
  3. Step 3: Cross multiply
    355,225.54x = 490,209.60 × 202,270
  4. Step 4: Simplify right side
    355,225.54x = 99,154,695,792
  5. Step 5: Solve for x
    x = 99,154,695,792/355,225.54
  6. Step 6: Final answer
    x = 279,131.66

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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.