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Finding the Fourth Proportional to 355,165.93, 490,041.15 and 228,013.75

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Solution

The fourth proportional to 355,165.93, 490,041.15 and 228,013.75 is: 314,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,165.93 : 490,041.15 = 228,013.75 : x
  2. Step 2: Convert to fraction form
    355,165.93/490,041.15 = 228,013.75/x
  3. Step 3: Cross multiply
    355,165.93x = 490,041.15 × 228,013.75
  4. Step 4: Simplify right side
    355,165.93x = 111,736,120,265.81
  5. Step 5: Solve for x
    x = 111,736,120,265.81/355,165.93
  6. Step 6: Final answer
    x = 314,602.59

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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.