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Finding the Fourth Proportional to 505,614, 697,747.32 and 279,274.08

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Solution

The fourth proportional to 505,614, 697,747.32 and 279,274.08 is: 385,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,614 : 697,747.32 = 279,274.08 : x
  2. Step 2: Convert to fraction form
    505,614/697,747.32 = 279,274.08/x
  3. Step 3: Cross multiply
    505,614x = 697,747.32 × 279,274.08
  4. Step 4: Simplify right side
    505,614x = 194,862,740,865.47
  5. Step 5: Solve for x
    x = 194,862,740,865.47/505,614
  6. Step 6: Final answer
    x = 385,398.23

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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.