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Finding the Fourth Proportional to 531,216.96, 733,058.01 and 289,494.35

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Solution

The fourth proportional to 531,216.96, 733,058.01 and 289,494.35 is: 399,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,216.96 : 733,058.01 = 289,494.35 : x
  2. Step 2: Convert to fraction form
    531,216.96/733,058.01 = 289,494.35/x
  3. Step 3: Cross multiply
    531,216.96x = 733,058.01 × 289,494.35
  4. Step 4: Simplify right side
    531,216.96x = 212,216,148,451.95
  5. Step 5: Solve for x
    x = 212,216,148,451.95/531,216.96
  6. Step 6: Final answer
    x = 399,490.54

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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.