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Finding the Fourth Proportional to 302,911.80, 417,999.42 and 166,938.18

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Solution

The fourth proportional to 302,911.80, 417,999.42 and 166,938.18 is: 230,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,911.80 : 417,999.42 = 166,938.18 : x
  2. Step 2: Convert to fraction form
    302,911.80/417,999.42 = 166,938.18/x
  3. Step 3: Cross multiply
    302,911.80x = 417,999.42 × 166,938.18
  4. Step 4: Simplify right side
    302,911.80x = 69,780,062,415.86
  5. Step 5: Solve for x
    x = 69,780,062,415.86/302,911.80
  6. Step 6: Final answer
    x = 230,364.29

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1.5x scale

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.