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Finding the Fourth Proportional to 287,882.92, 430,971.44 and 213,337.68

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Solution

The fourth proportional to 287,882.92, 430,971.44 and 213,337.68 is: 319,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,882.92 : 430,971.44 = 213,337.68 : x
  2. Step 2: Convert to fraction form
    287,882.92/430,971.44 = 213,337.68/x
  3. Step 3: Cross multiply
    287,882.92x = 430,971.44 × 213,337.68
  4. Step 4: Simplify right side
    287,882.92x = 91,942,447,155.86
  5. Step 5: Solve for x
    x = 91,942,447,155.86/287,882.92
  6. Step 6: Final answer
    x = 319,374.44

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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.