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Finding the Fourth Proportional to 310,357.74, 465,740.76 and 170,214.78

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Solution

The fourth proportional to 310,357.74, 465,740.76 and 170,214.78 is: 255,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,357.74 : 465,740.76 = 170,214.78 : x
  2. Step 2: Convert to fraction form
    310,357.74/465,740.76 = 170,214.78/x
  3. Step 3: Cross multiply
    310,357.74x = 465,740.76 × 170,214.78
  4. Step 4: Simplify right side
    310,357.74x = 79,275,961,000.43
  5. Step 5: Solve for x
    x = 79,275,961,000.43/310,357.74
  6. Step 6: Final answer
    x = 255,434.14

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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.