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Finding the Fourth Proportional to 352,305.47, 486,307.62 and 209,065.50

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Solution

The fourth proportional to 352,305.47, 486,307.62 and 209,065.50 is: 288,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,305.47 : 486,307.62 = 209,065.50 : x
  2. Step 2: Convert to fraction form
    352,305.47/486,307.62 = 209,065.50/x
  3. Step 3: Cross multiply
    352,305.47x = 486,307.62 × 209,065.50
  4. Step 4: Simplify right side
    352,305.47x = 101,670,145,729.11
  5. Step 5: Solve for x
    x = 101,670,145,729.11/352,305.47
  6. Step 6: Final answer
    x = 288,585.21

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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.