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Finding the Fourth Proportional to 218,616.37, 301,829.88 and 178,426

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Solution

The fourth proportional to 218,616.37, 301,829.88 and 178,426 is: 246,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,616.37 : 301,829.88 = 178,426 : x
  2. Step 2: Convert to fraction form
    218,616.37/301,829.88 = 178,426/x
  3. Step 3: Cross multiply
    218,616.37x = 301,829.88 × 178,426
  4. Step 4: Simplify right side
    218,616.37x = 53,854,298,168.88
  5. Step 5: Solve for x
    x = 53,854,298,168.88/218,616.37
  6. Step 6: Final answer
    x = 246,341.56

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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.