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Finding the Fourth Proportional to 385,137.21, 577,842.59 and 171,885.74

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Solution

The fourth proportional to 385,137.21, 577,842.59 and 171,885.74 is: 257,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,137.21 : 577,842.59 = 171,885.74 : x
  2. Step 2: Convert to fraction form
    385,137.21/577,842.59 = 171,885.74/x
  3. Step 3: Cross multiply
    385,137.21x = 577,842.59 × 171,885.74
  4. Step 4: Simplify right side
    385,137.21x = 99,322,897,437.03
  5. Step 5: Solve for x
    x = 99,322,897,437.03/385,137.21
  6. Step 6: Final answer
    x = 257,889.64

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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.