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Finding the Fourth Proportional to 529,656.47, 730,917.31 and 287,945.08

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Solution

The fourth proportional to 529,656.47, 730,917.31 and 287,945.08 is: 397,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,656.47 : 730,917.31 = 287,945.08 : x
  2. Step 2: Convert to fraction form
    529,656.47/730,917.31 = 287,945.08/x
  3. Step 3: Cross multiply
    529,656.47x = 730,917.31 × 287,945.08
  4. Step 4: Simplify right side
    529,656.47x = 210,464,043,301.34
  5. Step 5: Solve for x
    x = 210,464,043,301.34/529,656.47
  6. Step 6: Final answer
    x = 397,359.52

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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.