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Finding the Fourth Proportional to 549,041.89, 822,490.26 and 378,233.47

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Solution

The fourth proportional to 549,041.89, 822,490.26 and 378,233.47 is: 566,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,041.89 : 822,490.26 = 378,233.47 : x
  2. Step 2: Convert to fraction form
    549,041.89/822,490.26 = 378,233.47/x
  3. Step 3: Cross multiply
    549,041.89x = 822,490.26 × 378,233.47
  4. Step 4: Simplify right side
    549,041.89x = 311,093,345,081.00
  5. Step 5: Solve for x
    x = 311,093,345,081.00/549,041.89
  6. Step 6: Final answer
    x = 566,611.31

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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.