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Finding the Fourth Proportional to 287,462.41, 430,884.02 and 137,383.65

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Solution

The fourth proportional to 287,462.41, 430,884.02 and 137,383.65 is: 205,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,462.41 : 430,884.02 = 137,383.65 : x
  2. Step 2: Convert to fraction form
    287,462.41/430,884.02 = 137,383.65/x
  3. Step 3: Cross multiply
    287,462.41x = 430,884.02 × 137,383.65
  4. Step 4: Simplify right side
    287,462.41x = 59,196,419,737.73
  5. Step 5: Solve for x
    x = 59,196,419,737.73/287,462.41
  6. Step 6: Final answer
    x = 205,927.52

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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.