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Finding the Fourth Proportional to 302,781.32, 417,836.26 and 166,812.12

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Solution

The fourth proportional to 302,781.32, 417,836.26 and 166,812.12 is: 230,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,781.32 : 417,836.26 = 166,812.12 : x
  2. Step 2: Convert to fraction form
    302,781.32/417,836.26 = 166,812.12/x
  3. Step 3: Cross multiply
    302,781.32x = 417,836.26 × 166,812.12
  4. Step 4: Simplify right side
    302,781.32x = 69,700,152,343.47
  5. Step 5: Solve for x
    x = 69,700,152,343.47/302,781.32
  6. Step 6: Final answer
    x = 230,199.64

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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.