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Finding the Fourth Proportional to 531,091.89, 732,897.57 and 289,376.46

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Solution

The fourth proportional to 531,091.89, 732,897.57 and 289,376.46 is: 399,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,091.89 : 732,897.57 = 289,376.46 : x
  2. Step 2: Convert to fraction form
    531,091.89/732,897.57 = 289,376.46/x
  3. Step 3: Cross multiply
    531,091.89x = 732,897.57 × 289,376.46
  4. Step 4: Simplify right side
    531,091.89x = 212,083,304,349.20
  5. Step 5: Solve for x
    x = 212,083,304,349.20/531,091.89
  6. Step 6: Final answer
    x = 399,334.48

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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.