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Finding the Fourth Proportional to 385,454.49, 577,849.77 and 185,499.78

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Solution

The fourth proportional to 385,454.49, 577,849.77 and 185,499.78 is: 278,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,454.49 : 577,849.77 = 185,499.78 : x
  2. Step 2: Convert to fraction form
    385,454.49/577,849.77 = 185,499.78/x
  3. Step 3: Cross multiply
    385,454.49x = 577,849.77 × 185,499.78
  4. Step 4: Simplify right side
    385,454.49x = 107,191,005,208.05
  5. Step 5: Solve for x
    x = 107,191,005,208.05/385,454.49
  6. Step 6: Final answer
    x = 278,089.91

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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.