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Finding the Fourth Proportional to 503,865.05, 695,319.75 and 274,417.31

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Solution

The fourth proportional to 503,865.05, 695,319.75 and 274,417.31 is: 378,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,865.05 : 695,319.75 = 274,417.31 : x
  2. Step 2: Convert to fraction form
    503,865.05/695,319.75 = 274,417.31/x
  3. Step 3: Cross multiply
    503,865.05x = 695,319.75 × 274,417.31
  4. Step 4: Simplify right side
    503,865.05x = 190,807,775,544.79
  5. Step 5: Solve for x
    x = 190,807,775,544.79/503,865.05
  6. Step 6: Final answer
    x = 378,688.25

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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.