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Finding the Fourth Proportional to 302,705.78, 417,736.86 and 166,740.32

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Solution

The fourth proportional to 302,705.78, 417,736.86 and 166,740.32 is: 230,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,705.78 : 417,736.86 = 166,740.32 : x
  2. Step 2: Convert to fraction form
    302,705.78/417,736.86 = 166,740.32/x
  3. Step 3: Cross multiply
    302,705.78x = 417,736.86 × 166,740.32
  4. Step 4: Simplify right side
    302,705.78x = 69,653,577,712.20
  5. Step 5: Solve for x
    x = 69,653,577,712.20/302,705.78
  6. Step 6: Final answer
    x = 230,103.23

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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.