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Finding the Fourth Proportional to 302,978.16, 418,128.60 and 167,011.44

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Solution

The fourth proportional to 302,978.16, 418,128.60 and 167,011.44 is: 230,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,978.16 : 418,128.60 = 167,011.44 : x
  2. Step 2: Convert to fraction form
    302,978.16/418,128.60 = 167,011.44/x
  3. Step 3: Cross multiply
    302,978.16x = 418,128.60 × 167,011.44
  4. Step 4: Simplify right side
    302,978.16x = 69,832,259,591.18
  5. Step 5: Solve for x
    x = 69,832,259,591.18/302,978.16
  6. Step 6: Final answer
    x = 230,486.12

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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.