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Finding the Fourth Proportional to 316,321.80, 473,906.70 and 149,742.60

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Solution

The fourth proportional to 316,321.80, 473,906.70 and 149,742.60 is: 224,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,321.80 : 473,906.70 = 149,742.60 : x
  2. Step 2: Convert to fraction form
    316,321.80/473,906.70 = 149,742.60/x
  3. Step 3: Cross multiply
    316,321.80x = 473,906.70 × 149,742.60
  4. Step 4: Simplify right side
    316,321.80x = 70,964,021,415.42
  5. Step 5: Solve for x
    x = 70,964,021,415.42/316,321.80
  6. Step 6: Final answer
    x = 224,341.23

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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.