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Finding the Fourth Proportional to 316,643.51, 474,966.21 and 76,756.46

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Solution

The fourth proportional to 316,643.51, 474,966.21 and 76,756.46 is: 115,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,643.51 : 474,966.21 = 76,756.46 : x
  2. Step 2: Convert to fraction form
    316,643.51/474,966.21 = 76,756.46/x
  3. Step 3: Cross multiply
    316,643.51x = 474,966.21 × 76,756.46
  4. Step 4: Simplify right side
    316,643.51x = 36,456,722,524.39
  5. Step 5: Solve for x
    x = 36,456,722,524.39/316,643.51
  6. Step 6: Final answer
    x = 115,134.91

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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.