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Finding the Fourth Proportional to 301,461.60, 451,848.40 and 121,431.72

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Solution

The fourth proportional to 301,461.60, 451,848.40 and 121,431.72 is: 182,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,461.60 : 451,848.40 = 121,431.72 : x
  2. Step 2: Convert to fraction form
    301,461.60/451,848.40 = 121,431.72/x
  3. Step 3: Cross multiply
    301,461.60x = 451,848.40 × 121,431.72
  4. Step 4: Simplify right side
    301,461.60x = 54,868,728,391.25
  5. Step 5: Solve for x
    x = 54,868,728,391.25/301,461.60
  6. Step 6: Final answer
    x = 182,009.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.