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Finding the Fourth Proportional to 402,510.20, 603,930.48 and 212,919.86

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Solution

The fourth proportional to 402,510.20, 603,930.48 and 212,919.86 is: 319,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,510.20 : 603,930.48 = 212,919.86 : x
  2. Step 2: Convert to fraction form
    402,510.20/603,930.48 = 212,919.86/x
  3. Step 3: Cross multiply
    402,510.20x = 603,930.48 × 212,919.86
  4. Step 4: Simplify right side
    402,510.20x = 128,588,793,251.33
  5. Step 5: Solve for x
    x = 128,588,793,251.33/402,510.20
  6. Step 6: Final answer
    x = 319,467.17

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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.