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Finding the Fourth Proportional to 535,772.96, 739,389.84 and 320,948

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Solution

The fourth proportional to 535,772.96, 739,389.84 and 320,948 is: 442,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,772.96 : 739,389.84 = 320,948 : x
  2. Step 2: Convert to fraction form
    535,772.96/739,389.84 = 320,948/x
  3. Step 3: Cross multiply
    535,772.96x = 739,389.84 × 320,948
  4. Step 4: Simplify right side
    535,772.96x = 237,305,690,368.32
  5. Step 5: Solve for x
    x = 237,305,690,368.32/535,772.96
  6. Step 6: Final answer
    x = 442,922.11

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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.