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Finding the Fourth Proportional to 286,321.84, 429,335.90 and 151,458.72

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Solution

The fourth proportional to 286,321.84, 429,335.90 and 151,458.72 is: 227,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,321.84 : 429,335.90 = 151,458.72 : x
  2. Step 2: Convert to fraction form
    286,321.84/429,335.90 = 151,458.72/x
  3. Step 3: Cross multiply
    286,321.84x = 429,335.90 × 151,458.72
  4. Step 4: Simplify right side
    286,321.84x = 65,026,665,864.05
  5. Step 5: Solve for x
    x = 65,026,665,864.05/286,321.84
  6. Step 6: Final answer
    x = 227,110.39

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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.