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Finding the Fourth Proportional to 505,980.47, 698,302.82 and 291,129.59

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Solution

The fourth proportional to 505,980.47, 698,302.82 and 291,129.59 is: 401,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,980.47 : 698,302.82 = 291,129.59 : x
  2. Step 2: Convert to fraction form
    505,980.47/698,302.82 = 291,129.59/x
  3. Step 3: Cross multiply
    505,980.47x = 698,302.82 × 291,129.59
  4. Step 4: Simplify right side
    505,980.47x = 203,296,613,682.44
  5. Step 5: Solve for x
    x = 203,296,613,682.44/505,980.47
  6. Step 6: Final answer
    x = 401,787.47

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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.