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Finding the Fourth Proportional to 310,351.74, 465,731.76 and 170,208.78

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Solution

The fourth proportional to 310,351.74, 465,731.76 and 170,208.78 is: 255,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,351.74 : 465,731.76 = 170,208.78 : x
  2. Step 2: Convert to fraction form
    310,351.74/465,731.76 = 170,208.78/x
  3. Step 3: Cross multiply
    310,351.74x = 465,731.76 × 170,208.78
  4. Step 4: Simplify right side
    310,351.74x = 79,271,634,676.85
  5. Step 5: Solve for x
    x = 79,271,634,676.85/310,351.74
  6. Step 6: Final answer
    x = 255,425.13

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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.