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Finding the Fourth Proportional to 385,087.78, 577,150.53 and 185,355.15

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Solution

The fourth proportional to 385,087.78, 577,150.53 and 185,355.15 is: 277,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,087.78 : 577,150.53 = 185,355.15 : x
  2. Step 2: Convert to fraction form
    385,087.78/577,150.53 = 185,355.15/x
  3. Step 3: Cross multiply
    385,087.78x = 577,150.53 × 185,355.15
  4. Step 4: Simplify right side
    385,087.78x = 106,977,823,060.73
  5. Step 5: Solve for x
    x = 106,977,823,060.73/385,087.78
  6. Step 6: Final answer
    x = 277,801.14

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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.