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Finding the Fourth Proportional to 531,209.64, 733,043.16 and 289,491.51

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Solution

The fourth proportional to 531,209.64, 733,043.16 and 289,491.51 is: 399,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,209.64 : 733,043.16 = 289,491.51 : x
  2. Step 2: Convert to fraction form
    531,209.64/733,043.16 = 289,491.51/x
  3. Step 3: Cross multiply
    531,209.64x = 733,043.16 × 289,491.51
  4. Step 4: Simplify right side
    531,209.64x = 212,209,771,283.57
  5. Step 5: Solve for x
    x = 212,209,771,283.57/531,209.64
  6. Step 6: Final answer
    x = 399,484.04

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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.