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Finding the Fourth Proportional to 316,643.22, 474,965.78 and 76,756.18

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Solution

The fourth proportional to 316,643.22, 474,965.78 and 76,756.18 is: 115,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,643.22 : 474,965.78 = 76,756.18 : x
  2. Step 2: Convert to fraction form
    316,643.22/474,965.78 = 76,756.18/x
  3. Step 3: Cross multiply
    316,643.22x = 474,965.78 × 76,756.18
  4. Step 4: Simplify right side
    316,643.22x = 36,456,557,908.00
  5. Step 5: Solve for x
    x = 36,456,557,908.00/316,643.22
  6. Step 6: Final answer
    x = 115,134.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.