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Finding the Fourth Proportional to 531,211.91, 733,051.13 and 289,489.28

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Solution

The fourth proportional to 531,211.91, 733,051.13 and 289,489.28 is: 399,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,211.91 : 733,051.13 = 289,489.28 : x
  2. Step 2: Convert to fraction form
    531,211.91/733,051.13 = 289,489.28/x
  3. Step 3: Cross multiply
    531,211.91x = 733,051.13 × 289,489.28
  4. Step 4: Simplify right side
    531,211.91x = 212,210,438,714.18
  5. Step 5: Solve for x
    x = 212,210,438,714.18/531,211.91
  6. Step 6: Final answer
    x = 399,483.59

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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.