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Finding the Fourth Proportional to 228,459.96, 342,805.14 and 128,731.32

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Solution

The fourth proportional to 228,459.96, 342,805.14 and 128,731.32 is: 193,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,459.96 : 342,805.14 = 128,731.32 : x
  2. Step 2: Convert to fraction form
    228,459.96/342,805.14 = 128,731.32/x
  3. Step 3: Cross multiply
    228,459.96x = 342,805.14 × 128,731.32
  4. Step 4: Simplify right side
    228,459.96x = 44,129,758,174.98
  5. Step 5: Solve for x
    x = 44,129,758,174.98/228,459.96
  6. Step 6: Final answer
    x = 193,161.89

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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.