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Finding the Fourth Proportional to 531,092.21, 732,898 and 289,376.77

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Solution

The fourth proportional to 531,092.21, 732,898 and 289,376.77 is: 399,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,092.21 : 732,898 = 289,376.77 : x
  2. Step 2: Convert to fraction form
    531,092.21/732,898 = 289,376.77/x
  3. Step 3: Cross multiply
    531,092.21x = 732,898 × 289,376.77
  4. Step 4: Simplify right side
    531,092.21x = 212,083,655,979.46
  5. Step 5: Solve for x
    x = 212,083,655,979.46/531,092.21
  6. Step 6: Final answer
    x = 399,334.90

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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.