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Finding the Fourth Proportional to 531,180.06, 733,007.12 and 289,457.45

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Solution

The fourth proportional to 531,180.06, 733,007.12 and 289,457.45 is: 399,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,180.06 : 733,007.12 = 289,457.45 : x
  2. Step 2: Convert to fraction form
    531,180.06/733,007.12 = 289,457.45/x
  3. Step 3: Cross multiply
    531,180.06x = 733,007.12 × 289,457.45
  4. Step 4: Simplify right side
    531,180.06x = 212,174,371,787.04
  5. Step 5: Solve for x
    x = 212,174,371,787.04/531,180.06
  6. Step 6: Final answer
    x = 399,439.64

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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.