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Finding the Fourth Proportional to 531,221.68, 733,064.52 and 289,499.14

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Solution

The fourth proportional to 531,221.68, 733,064.52 and 289,499.14 is: 399,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,221.68 : 733,064.52 = 289,499.14 : x
  2. Step 2: Convert to fraction form
    531,221.68/733,064.52 = 289,499.14/x
  3. Step 3: Cross multiply
    531,221.68x = 733,064.52 × 289,499.14
  4. Step 4: Simplify right side
    531,221.68x = 212,221,548,104.51
  5. Step 5: Solve for x
    x = 212,221,548,104.51/531,221.68
  6. Step 6: Final answer
    x = 399,497.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.