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Finding the Fourth Proportional to 299,333.68, 448,762.11 and 172,830.42

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Solution

The fourth proportional to 299,333.68, 448,762.11 and 172,830.42 is: 259,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,333.68 : 448,762.11 = 172,830.42 : x
  2. Step 2: Convert to fraction form
    299,333.68/448,762.11 = 172,830.42/x
  3. Step 3: Cross multiply
    299,333.68x = 448,762.11 × 172,830.42
  4. Step 4: Simplify right side
    299,333.68x = 77,559,744,663.47
  5. Step 5: Solve for x
    x = 77,559,744,663.47/299,333.68
  6. Step 6: Final answer
    x = 259,107.98

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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.