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Finding the Fourth Proportional to 519,316.44, 778,966.56 and 266,451

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Solution

The fourth proportional to 519,316.44, 778,966.56 and 266,451 is: 399,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,316.44 : 778,966.56 = 266,451 : x
  2. Step 2: Convert to fraction form
    519,316.44/778,966.56 = 266,451/x
  3. Step 3: Cross multiply
    519,316.44x = 778,966.56 × 266,451
  4. Step 4: Simplify right side
    519,316.44x = 207,556,418,878.56
  5. Step 5: Solve for x
    x = 207,556,418,878.56/519,316.44
  6. Step 6: Final answer
    x = 399,672.34

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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.