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Finding the Fourth Proportional to 531,216.96, 733,058.02 and 289,494.34

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Solution

The fourth proportional to 531,216.96, 733,058.02 and 289,494.34 is: 399,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,216.96 : 733,058.02 = 289,494.34 : x
  2. Step 2: Convert to fraction form
    531,216.96/733,058.02 = 289,494.34/x
  3. Step 3: Cross multiply
    531,216.96x = 733,058.02 × 289,494.34
  4. Step 4: Simplify right side
    531,216.96x = 212,216,146,234.14
  5. Step 5: Solve for x
    x = 212,216,146,234.14/531,216.96
  6. Step 6: Final answer
    x = 399,490.54

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1.5x scale

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.