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Finding the Fourth Proportional to 399,970.08, 600,205.68 and 213,104.16

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Solution

The fourth proportional to 399,970.08, 600,205.68 and 213,104.16 is: 319,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,970.08 : 600,205.68 = 213,104.16 : x
  2. Step 2: Convert to fraction form
    399,970.08/600,205.68 = 213,104.16/x
  3. Step 3: Cross multiply
    399,970.08x = 600,205.68 × 213,104.16
  4. Step 4: Simplify right side
    399,970.08x = 127,906,327,263.63
  5. Step 5: Solve for x
    x = 127,906,327,263.63/399,970.08
  6. Step 6: Final answer
    x = 319,789.74

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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.