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Finding the Fourth Proportional to 503,660.95, 695,513.93 and 319,958.84

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Solution

The fourth proportional to 503,660.95, 695,513.93 and 319,958.84 is: 441,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,660.95 : 695,513.93 = 319,958.84 : x
  2. Step 2: Convert to fraction form
    503,660.95/695,513.93 = 319,958.84/x
  3. Step 3: Cross multiply
    503,660.95x = 695,513.93 × 319,958.84
  4. Step 4: Simplify right side
    503,660.95x = 222,535,830,385.63
  5. Step 5: Solve for x
    x = 222,535,830,385.63/503,660.95
  6. Step 6: Final answer
    x = 441,836.57

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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.