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Finding the Fourth Proportional to 543,992.96, 816,127.84 and 319,543.20

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Solution

The fourth proportional to 543,992.96, 816,127.84 and 319,543.20 is: 479,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,992.96 : 816,127.84 = 319,543.20 : x
  2. Step 2: Convert to fraction form
    543,992.96/816,127.84 = 319,543.20/x
  3. Step 3: Cross multiply
    543,992.96x = 816,127.84 × 319,543.20
  4. Step 4: Simplify right side
    543,992.96x = 260,788,101,602.69
  5. Step 5: Solve for x
    x = 260,788,101,602.69/543,992.96
  6. Step 6: Final answer
    x = 479,396.10

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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.