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Finding the Fourth Proportional to 280,484.44, 420,415 and 213,704.40

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Solution

The fourth proportional to 280,484.44, 420,415 and 213,704.40 is: 320,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,484.44 : 420,415 = 213,704.40 : x
  2. Step 2: Convert to fraction form
    280,484.44/420,415 = 213,704.40/x
  3. Step 3: Cross multiply
    280,484.44x = 420,415 × 213,704.40
  4. Step 4: Simplify right side
    280,484.44x = 89,844,535,326
  5. Step 5: Solve for x
    x = 89,844,535,326/280,484.44
  6. Step 6: Final answer
    x = 320,319.14

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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.