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Finding the Fourth Proportional to 503,708.30, 695,129.91 and 274,278.15

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Solution

The fourth proportional to 503,708.30, 695,129.91 and 274,278.15 is: 378,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,708.30 : 695,129.91 = 274,278.15 : x
  2. Step 2: Convert to fraction form
    503,708.30/695,129.91 = 274,278.15/x
  3. Step 3: Cross multiply
    503,708.30x = 695,129.91 × 274,278.15
  4. Step 4: Simplify right side
    503,708.30x = 190,658,945,724.47
  5. Step 5: Solve for x
    x = 190,658,945,724.47/503,708.30
  6. Step 6: Final answer
    x = 378,510.63

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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.