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Finding the Fourth Proportional to 385,493.92, 577,994.16 and 185,415.88

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Solution

The fourth proportional to 385,493.92, 577,994.16 and 185,415.88 is: 278,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,493.92 : 577,994.16 = 185,415.88 : x
  2. Step 2: Convert to fraction form
    385,493.92/577,994.16 = 185,415.88/x
  3. Step 3: Cross multiply
    385,493.92x = 577,994.16 × 185,415.88
  4. Step 4: Simplify right side
    385,493.92x = 107,169,295,811.26
  5. Step 5: Solve for x
    x = 107,169,295,811.26/385,493.92
  6. Step 6: Final answer
    x = 278,005.15

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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.