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Finding the Fourth Proportional to 310,895.45, 465,780.00 and 142,556.59

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Solution

The fourth proportional to 310,895.45, 465,780.00 and 142,556.59 is: 213,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,895.45 : 465,780.00 = 142,556.59 : x
  2. Step 2: Convert to fraction form
    310,895.45/465,780.00 = 142,556.59/x
  3. Step 3: Cross multiply
    310,895.45x = 465,780.00 × 142,556.59
  4. Step 4: Simplify right side
    310,895.45x = 66,400,009,607.01
  5. Step 5: Solve for x
    x = 66,400,009,607.01/310,895.45
  6. Step 6: Final answer
    x = 213,576.65

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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.