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Finding the Fourth Proportional to 505,705.52, 697,898.53 and 287,918.52

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Solution

The fourth proportional to 505,705.52, 697,898.53 and 287,918.52 is: 397,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,705.52 : 697,898.53 = 287,918.52 : x
  2. Step 2: Convert to fraction form
    505,705.52/697,898.53 = 287,918.52/x
  3. Step 3: Cross multiply
    505,705.52x = 697,898.53 × 287,918.52
  4. Step 4: Simplify right side
    505,705.52x = 200,937,909,610.55
  5. Step 5: Solve for x
    x = 200,937,909,610.55/505,705.52
  6. Step 6: Final answer
    x = 397,341.73

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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.