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Finding the Fourth Proportional to 531,221.10, 733,063.71 and 289,498.47

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Solution

The fourth proportional to 531,221.10, 733,063.71 and 289,498.47 is: 399,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,221.10 : 733,063.71 = 289,498.47 : x
  2. Step 2: Convert to fraction form
    531,221.10/733,063.71 = 289,498.47/x
  3. Step 3: Cross multiply
    531,221.10x = 733,063.71 × 289,498.47
  4. Step 4: Simplify right side
    531,221.10x = 212,220,822,457.52
  5. Step 5: Solve for x
    x = 212,220,822,457.52/531,221.10
  6. Step 6: Final answer
    x = 399,496.22

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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.