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Finding the Fourth Proportional to 360,032.30, 496,472.47 and 309,213.31

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Solution

The fourth proportional to 360,032.30, 496,472.47 and 309,213.31 is: 426,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,032.30 : 496,472.47 = 309,213.31 : x
  2. Step 2: Convert to fraction form
    360,032.30/496,472.47 = 309,213.31/x
  3. Step 3: Cross multiply
    360,032.30x = 496,472.47 × 309,213.31
  4. Step 4: Simplify right side
    360,032.30x = 153,515,893,758.36
  5. Step 5: Solve for x
    x = 153,515,893,758.36/360,032.30
  6. Step 6: Final answer
    x = 426,394.78

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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.