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Finding the Fourth Proportional to 316,002.64, 435,823.80 and 225,329.60

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Solution

The fourth proportional to 316,002.64, 435,823.80 and 225,329.60 is: 310,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,002.64 : 435,823.80 = 225,329.60 : x
  2. Step 2: Convert to fraction form
    316,002.64/435,823.80 = 225,329.60/x
  3. Step 3: Cross multiply
    316,002.64x = 435,823.80 × 225,329.60
  4. Step 4: Simplify right side
    316,002.64x = 98,204,002,524.48
  5. Step 5: Solve for x
    x = 98,204,002,524.48/316,002.64
  6. Step 6: Final answer
    x = 310,769.56

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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.