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Finding the Fourth Proportional to 365,725.72, 503,580 and 320,148.64

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Solution

The fourth proportional to 365,725.72, 503,580 and 320,148.64 is: 440,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,725.72 : 503,580 = 320,148.64 : x
  2. Step 2: Convert to fraction form
    365,725.72/503,580 = 320,148.64/x
  3. Step 3: Cross multiply
    365,725.72x = 503,580 × 320,148.64
  4. Step 4: Simplify right side
    365,725.72x = 161,220,452,131.20
  5. Step 5: Solve for x
    x = 161,220,452,131.20/365,725.72
  6. Step 6: Final answer
    x = 440,823.39

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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.