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Finding the Fourth Proportional to 355,199.76, 490,265.06 and 228,096.80

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Solution

The fourth proportional to 355,199.76, 490,265.06 and 228,096.80 is: 314,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,199.76 : 490,265.06 = 228,096.80 : x
  2. Step 2: Convert to fraction form
    355,199.76/490,265.06 = 228,096.80/x
  3. Step 3: Cross multiply
    355,199.76x = 490,265.06 × 228,096.80
  4. Step 4: Simplify right side
    355,199.76x = 111,827,887,746.00
  5. Step 5: Solve for x
    x = 111,827,887,746.00/355,199.76
  6. Step 6: Final answer
    x = 314,830.98

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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.