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Finding the Fourth Proportional to 505,580.61, 697,696.97 and 279,221.25

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Solution

The fourth proportional to 505,580.61, 697,696.97 and 279,221.25 is: 385,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,580.61 : 697,696.97 = 279,221.25 : x
  2. Step 2: Convert to fraction form
    505,580.61/697,696.97 = 279,221.25/x
  3. Step 3: Cross multiply
    505,580.61x = 697,696.97 × 279,221.25
  4. Step 4: Simplify right side
    505,580.61x = 194,811,818,688.51
  5. Step 5: Solve for x
    x = 194,811,818,688.51/505,580.61
  6. Step 6: Final answer
    x = 385,322.96

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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.