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Finding the Fourth Proportional to 419,027.16, 578,934 and 292,268.64

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Solution

The fourth proportional to 419,027.16, 578,934 and 292,268.64 is: 403,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,027.16 : 578,934 = 292,268.64 : x
  2. Step 2: Convert to fraction form
    419,027.16/578,934 = 292,268.64/x
  3. Step 3: Cross multiply
    419,027.16x = 578,934 × 292,268.64
  4. Step 4: Simplify right side
    419,027.16x = 169,204,252,829.76
  5. Step 5: Solve for x
    x = 169,204,252,829.76/419,027.16
  6. Step 6: Final answer
    x = 403,802.59

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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.