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Finding the Fourth Proportional to 365,054.40, 547,153.92 and 165,142.08

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Solution

The fourth proportional to 365,054.40, 547,153.92 and 165,142.08 is: 247,519.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,054.40 : 547,153.92 = 165,142.08 : x
  2. Step 2: Convert to fraction form
    365,054.40/547,153.92 = 165,142.08/x
  3. Step 3: Cross multiply
    365,054.40x = 547,153.92 × 165,142.08
  4. Step 4: Simplify right side
    365,054.40x = 90,358,136,428.95
  5. Step 5: Solve for x
    x = 90,358,136,428.95/365,054.40
  6. Step 6: Final answer
    x = 247,519.65

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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.