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Finding the Fourth Proportional to 450,930.32, 676,406.40 and 151,420.68

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Solution

The fourth proportional to 450,930.32, 676,406.40 and 151,420.68 is: 227,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,930.32 : 676,406.40 = 151,420.68 : x
  2. Step 2: Convert to fraction form
    450,930.32/676,406.40 = 151,420.68/x
  3. Step 3: Cross multiply
    450,930.32x = 676,406.40 × 151,420.68
  4. Step 4: Simplify right side
    450,930.32x = 102,421,917,044.35
  5. Step 5: Solve for x
    x = 102,421,917,044.35/450,930.32
  6. Step 6: Final answer
    x = 227,134.69

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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.