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Finding the Fourth Proportional to 662,595.64, 994,049.21 and 213,299.71

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Solution

The fourth proportional to 662,595.64, 994,049.21 and 213,299.71 is: 319,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,595.64 : 994,049.21 = 213,299.71 : x
  2. Step 2: Convert to fraction form
    662,595.64/994,049.21 = 213,299.71/x
  3. Step 3: Cross multiply
    662,595.64x = 994,049.21 × 213,299.71
  4. Step 4: Simplify right side
    662,595.64x = 212,030,406,266.86
  5. Step 5: Solve for x
    x = 212,030,406,266.86/662,595.64
  6. Step 6: Final answer
    x = 319,999.70

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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.