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Finding the Fourth Proportional to 310,913.16, 429,022.02 and 196,148.52

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Solution

The fourth proportional to 310,913.16, 429,022.02 and 196,148.52 is: 270,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,913.16 : 429,022.02 = 196,148.52 : x
  2. Step 2: Convert to fraction form
    310,913.16/429,022.02 = 196,148.52/x
  3. Step 3: Cross multiply
    310,913.16x = 429,022.02 × 196,148.52
  4. Step 4: Simplify right side
    310,913.16x = 84,152,034,270.41
  5. Step 5: Solve for x
    x = 84,152,034,270.41/310,913.16
  6. Step 6: Final answer
    x = 270,660.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.