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Finding the Fourth Proportional to 310,321.74, 465,686.73 and 170,178.78

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Solution

The fourth proportional to 310,321.74, 465,686.73 and 170,178.78 is: 255,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,321.74 : 465,686.73 = 170,178.78 : x
  2. Step 2: Convert to fraction form
    310,321.74/465,686.73 = 170,178.78/x
  3. Step 3: Cross multiply
    310,321.74x = 465,686.73 × 170,178.78
  4. Step 4: Simplify right side
    310,321.74x = 79,249,999,573.59
  5. Step 5: Solve for x
    x = 79,249,999,573.59/310,321.74
  6. Step 6: Final answer
    x = 255,380.11

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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.