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Finding the Fourth Proportional to 531,190.71, 733,043.30 and 289,473.30

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Solution

The fourth proportional to 531,190.71, 733,043.30 and 289,473.30 is: 399,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,190.71 : 733,043.30 = 289,473.30 : x
  2. Step 2: Convert to fraction form
    531,190.71/733,043.30 = 289,473.30/x
  3. Step 3: Cross multiply
    531,190.71x = 733,043.30 × 289,473.30
  4. Step 4: Simplify right side
    531,190.71x = 212,196,461,646.52
  5. Step 5: Solve for x
    x = 212,196,461,646.52/531,190.71
  6. Step 6: Final answer
    x = 399,473.22

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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.