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Finding the Fourth Proportional to 364,485.60, 502,543.26 and 299,728.54

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Solution

The fourth proportional to 364,485.60, 502,543.26 and 299,728.54 is: 413,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,485.60 : 502,543.26 = 299,728.54 : x
  2. Step 2: Convert to fraction form
    364,485.60/502,543.26 = 299,728.54/x
  3. Step 3: Cross multiply
    364,485.60x = 502,543.26 × 299,728.54
  4. Step 4: Simplify right side
    364,485.60x = 150,626,557,606.64
  5. Step 5: Solve for x
    x = 150,626,557,606.64/364,485.60
  6. Step 6: Final answer
    x = 413,257.91

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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.