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Finding the Fourth Proportional to 385,492.74, 577,906.56 and 185,538.06

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Solution

The fourth proportional to 385,492.74, 577,906.56 and 185,538.06 is: 278,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,492.74 : 577,906.56 = 185,538.06 : x
  2. Step 2: Convert to fraction form
    385,492.74/577,906.56 = 185,538.06/x
  3. Step 3: Cross multiply
    385,492.74x = 577,906.56 × 185,538.06
  4. Step 4: Simplify right side
    385,492.74x = 107,223,662,003.67
  5. Step 5: Solve for x
    x = 107,223,662,003.67/385,492.74
  6. Step 6: Final answer
    x = 278,147.03

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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.