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Finding the Fourth Proportional to 450,968.48, 676,530.66 and 151,478

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Solution

The fourth proportional to 450,968.48, 676,530.66 and 151,478 is: 227,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,968.48 : 676,530.66 = 151,478 : x
  2. Step 2: Convert to fraction form
    450,968.48/676,530.66 = 151,478/x
  3. Step 3: Cross multiply
    450,968.48x = 676,530.66 × 151,478
  4. Step 4: Simplify right side
    450,968.48x = 102,479,511,315.48
  5. Step 5: Solve for x
    x = 102,479,511,315.48/450,968.48
  6. Step 6: Final answer
    x = 227,243.18

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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.