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Finding the Fourth Proportional to 531,222.60, 733,065.78 and 289,499.98

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Solution

The fourth proportional to 531,222.60, 733,065.78 and 289,499.98 is: 399,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,222.60 : 733,065.78 = 289,499.98 : x
  2. Step 2: Convert to fraction form
    531,222.60/733,065.78 = 289,499.98/x
  3. Step 3: Cross multiply
    531,222.60x = 733,065.78 × 289,499.98
  4. Step 4: Simplify right side
    531,222.60x = 212,222,528,648.68
  5. Step 5: Solve for x
    x = 212,222,528,648.68/531,222.60
  6. Step 6: Final answer
    x = 399,498.31

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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.