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Finding the Fourth Proportional to 485,146.67, 727,860.40 and 200,784.71

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Solution

The fourth proportional to 485,146.67, 727,860.40 and 200,784.71 is: 301,235.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,146.67 : 727,860.40 = 200,784.71 : x
  2. Step 2: Convert to fraction form
    485,146.67/727,860.40 = 200,784.71/x
  3. Step 3: Cross multiply
    485,146.67x = 727,860.40 × 200,784.71
  4. Step 4: Simplify right side
    485,146.67x = 146,143,240,652.17
  5. Step 5: Solve for x
    x = 146,143,240,652.17/485,146.67
  6. Step 6: Final answer
    x = 301,235.18

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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.