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Finding the Fourth Proportional to 352,114.08, 485,841.42 and 208,921.50

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Solution

The fourth proportional to 352,114.08, 485,841.42 and 208,921.50 is: 288,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,114.08 : 485,841.42 = 208,921.50 : x
  2. Step 2: Convert to fraction form
    352,114.08/485,841.42 = 208,921.50/x
  3. Step 3: Cross multiply
    352,114.08x = 485,841.42 × 208,921.50
  4. Step 4: Simplify right side
    352,114.08x = 101,502,718,228.53
  5. Step 5: Solve for x
    x = 101,502,718,228.53/352,114.08
  6. Step 6: Final answer
    x = 288,266.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.