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Finding the Fourth Proportional to 310,636.42, 465,659.35 and 198,000.45

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Solution

The fourth proportional to 310,636.42, 465,659.35 and 198,000.45 is: 296,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,636.42 : 465,659.35 = 198,000.45 : x
  2. Step 2: Convert to fraction form
    310,636.42/465,659.35 = 198,000.45/x
  3. Step 3: Cross multiply
    310,636.42x = 465,659.35 × 198,000.45
  4. Step 4: Simplify right side
    310,636.42x = 92,200,760,351.71
  5. Step 5: Solve for x
    x = 92,200,760,351.71/310,636.42
  6. Step 6: Final answer
    x = 296,812.46

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1.5x scale

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.