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Finding the Fourth Proportional to 352,306.47, 486,309 and 209,066.50

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Solution

The fourth proportional to 352,306.47, 486,309 and 209,066.50 is: 288,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,306.47 : 486,309 = 209,066.50 : x
  2. Step 2: Convert to fraction form
    352,306.47/486,309 = 209,066.50/x
  3. Step 3: Cross multiply
    352,306.47x = 486,309 × 209,066.50
  4. Step 4: Simplify right side
    352,306.47x = 101,670,920,548.50
  5. Step 5: Solve for x
    x = 101,670,920,548.50/352,306.47
  6. Step 6: Final answer
    x = 288,586.58

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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.