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Finding the Fourth Proportional to 301,107.15, 415,460.61 and 172,004.40

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Solution

The fourth proportional to 301,107.15, 415,460.61 and 172,004.40 is: 237,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,107.15 : 415,460.61 = 172,004.40 : x
  2. Step 2: Convert to fraction form
    301,107.15/415,460.61 = 172,004.40/x
  3. Step 3: Cross multiply
    301,107.15x = 415,460.61 × 172,004.40
  4. Step 4: Simplify right side
    301,107.15x = 71,461,052,946.68
  5. Step 5: Solve for x
    x = 71,461,052,946.68/301,107.15
  6. Step 6: Final answer
    x = 237,327.65

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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.