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Finding the Fourth Proportional to 532,784.70, 735,257.31 and 318,049.39

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Solution

The fourth proportional to 532,784.70, 735,257.31 and 318,049.39 is: 438,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,784.70 : 735,257.31 = 318,049.39 : x
  2. Step 2: Convert to fraction form
    532,784.70/735,257.31 = 318,049.39/x
  3. Step 3: Cross multiply
    532,784.70x = 735,257.31 × 318,049.39
  4. Step 4: Simplify right side
    532,784.70x = 233,848,138,938.54
  5. Step 5: Solve for x
    x = 233,848,138,938.54/532,784.70
  6. Step 6: Final answer
    x = 438,916.77

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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.