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Finding the Fourth Proportional to 302,703.78, 417,734.10 and 166,738.31

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Solution

The fourth proportional to 302,703.78, 417,734.10 and 166,738.31 is: 230,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,703.78 : 417,734.10 = 166,738.31 : x
  2. Step 2: Convert to fraction form
    302,703.78/417,734.10 = 166,738.31/x
  3. Step 3: Cross multiply
    302,703.78x = 417,734.10 × 166,738.31
  4. Step 4: Simplify right side
    302,703.78x = 69,652,275,774.70
  5. Step 5: Solve for x
    x = 69,652,275,774.70/302,703.78
  6. Step 6: Final answer
    x = 230,100.45

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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.